A line passes through the points (−4, −18) and (0, 2). Which is an equation of the line?

Answers

Answer 1

Answer:

y=5x+2

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,-18), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=-18.

Also, let's call the second point you gave, (0,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=0 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m= (2 - -18)

------------

(0 - -4)

or...

m= 20

-------

4

or...

m=5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-4,-18). When x of the line is -4, y of the line must be -18.

(0,2). When x of the line is 0, y of the line must be 2.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=5x+b. b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,-18) and (0,2).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-4,-18). y=mx+b or -18=5 × -4+b, or solving for b: b=-18-(5)(-4). b=2.

(0,2). y=mx+b or 2=5 × 0+b, or solving for b: b=2-(5)(0). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-4,-18) and (0,2)

is

y=5x+2


Related Questions

Graph h(x) = 4x + 4 + 3.
Help me plz

Answers

Answer:

h(x)=4x+7

Step-by-step explanation:

4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.

(-2,1)

(0,7)

(-1.75,0)

10. In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length.

Please show all work and not just answers.

Answers

Answer:

GH=5

HI=5

IJ=5

JK=9

Step-by-step explanation:

GK=24

HJ=10

GH=HI=IJ.

Let GH, HI, IJ be x

therefore,

HI+IJ=10

=>x+x=10

=>2x=10

=>x=10/2

=>x=5

HI=IJ=GH=5

GH+HI+IJ+JK=GK

=>5+5+5+JK=24

=>15+JK=24

=>JK=24-15

JK=9

There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?

Answers

Answer:

6:15:11

Step-by-step explanation:

We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

Answer:

6:15:11

Step-by-step explanation:

men:women:children = 24:60:4424, 60, and 44 can all we divided by 4. 24 ÷ 4 = 660 ÷ 4 = 1544 ÷ 4 = 11Put them together: 6:15:11

Evaluate this expression: 3x + 9x -5

Answers

Answer:

12x - 5

Step-by-step explanation:

3x + 9x - 5 can be easily simplified by combining like terms.

3x and 9x are like terms because they both contain the same variable and the same exponent (understood to be 1).

Therefore, because an addition sign separates the two terms, it is expected of you to add the two together. To do this, just add the terms together as you would any other terms.

3x + 9x = 12x

Because the 5 is the only constant in the equation, it cannot be combined with anything else.

The simplified expression is 12x - 5.

help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

Answers

Answer and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

          2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Daniel went to Target and bought a basketball for $ 21.85 and a shirt for $12.68. Daniel received $ 0.47 in change. How much did Daniel give the cashier?

Answers

Answer:

$35

Step-by-step explanation:

To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.

find two numbers with a sum of 129 and a difference (equation only) ​

Answers

Answer:

x + y = 129

with possible solution

128 and 1

Step-by-step explanation:

128 + 1 = 129

There are infinitely many solutions if you don't specify the difference.

Write this decimal in percent form. .24​

Answers

Answer:

24%

Step-by-step explanation:

To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.

0.24 = 24%

Answer:

24%

Convert.

.24/0.24 = 24%

24% is your answer. Hope this helps.

Which of the following statements must be true?

Answers

Answer:

A

Step-by-step explanation:

Since ΔDEF has only been rotated, we know that ΔDEF ≅ ΔJKL. Using CPCTC, we can see that the answer is DF = JL which is A.

What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answers

Answer:

(2, 3)

Step-by-step explanation:

First of all, let us understand what does a linear system mean.

A linear system means a mathematical model that contains more than one linear equations.

Linear equations mean maximum power of the variable is 1.

Now, how to solve for system of linear equations.

There are two methods to solve the system:

1. From equations: A linear equation is generally written as:

[tex]Ax+By+C=0[/tex]

Two such equations are solved for the values of [tex]x[/tex] and [tex]y[/tex].

2. From Graph:

The intersecting point of the graphs of the equations is the solution of the system of linear equations.

Now, let us consider the given graph of two lines.

The intersecting point is (2, 3)

Where 2 is the value of x coordinate and

3 is the value of y coordinate.

So, solution is (2, 3)

Please refer to the attached image for the answer.

We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)

A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.

So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).

If you want to learn more, you can read:

https://brainly.com/question/19249122

what is the image of the point (-3,5) after a rotation of 90 counterclockwise about the origin

Answers

Answer:

(5, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

(- 3, 5 ) → (5, 3 )

Answer:

(-5,-3)

Step-by-step explanation:

What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?

a.Radicals in the denominators of fractions are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.

b.Complex numbers in a fraction are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.

c.Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

d.Complex numbers in a fraction are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the fraction, which is the conjugate of the denominator.

Answers

Answer:

C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

Step-by-step explanation:

Marcus is putting new tiles on his kitchen fllor. The kitchen floor is 6.1 feet wide and 9.5 feet long. How many square feet of tile will Marcus need to purchase?

Answers

Answer:

  57.95

Step-by-step explanation:

The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.

If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.

If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.

Select the correct answer. Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute? A. 3 B. 8 C. 18 D. 48

Answers

Answer:

D.

Step-by-step explanation:

p=3s

p=3(16)

p=48 pencils

Write an equation for the following scenario. The sum of 2 times a number and 8 is equal to 3 less than that number.

Answers

Answer: 2n + 8 = n -3

Step-by-step explanation:

In this scenario we will represent that number by the variable n.

So two times the number will be 2n plus  8  is 2n +8  and it has to equal 3 less that  number so it will be n-3.

how do you dilate a point on a graph?

Answers

Answer:

If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3. That is where you put your new point.

Step-by-step explanation:

i found this on google

In 2011 Clayton Kershaw earned $500,000 pitching for the LA Dodgers. In 2019, his salary was $31,000,000. Answer the three parts below. Clearly show all work and reasoning.
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
C) Did he earn more per game in 2019 than he did for the entire 2011 season?

Answers

Answer:

A. $15,625 per game

B. $1,107,142.86 per game

C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Step-by-step explanation:

His salary in 2011 = $500,000

His salary in 2019 = $31,000,000

A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?

Kershaw's salary per game = Total salary / Total number of games

= $500,000 / 32 games

= $15,625 per game

B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.

Kershaw's salary per game = Total salary / Total number of games

= $31,000,000 / 28 games

= $1,107,142.8571428

To the nearest cents

= $1,107,142.86 per game

C) Did he earn more per game in 2019 than he did for the entire 2011 season?

$1,107,142.86 per game - $500,000

= $607,142.86

Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Answer:

A. $15,625 - game

B. $1,107,142.86 - game

C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)

what is x to the power of two =36 over 121​

Answers

X^1=-6/11 and x^2 = 6/11

Answer:

x = ± [tex]\frac{6}{11}[/tex]

Step-by-step explanation:

Given

x² = [tex]\frac{36}{121}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{36}{121} }[/tex] = ± [tex]\frac{\sqrt{36} }{\sqrt{121} }[/tex] = ± [tex]\frac{6}{11}[/tex]

Given the points C(-1,-5) and D(-7,11) find the coordinates of point E on CD such that the ratio of CE to ED is 5:3.

((Yes im this stupid, please help-))

Answers

Answer:

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Step-by-step explanation:

Let be [tex]C = (-1,-5)[/tex], [tex]D = (-7,11)[/tex] and [tex]\frac{CE}{ED} = \frac{5}{3}[/tex]. The given ratio can be translated vectorially into this:

[tex]\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}[/tex]

And let consider that each point is a vector with respect to origin:

[tex]\vec C = (-1, -5)[/tex] and [tex]\vec {D} = (-7,11)[/tex]

Then,

[tex]\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)[/tex]

[tex]\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)[/tex]

[tex]\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)[/tex]

[tex]\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)[/tex]

[tex]\vec{E} = \left(-\frac{19}{4}, 5\right)[/tex]

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *

Answers

answer 63 miles
Explains 151.2 / 2.4 = 63

A cell phone beeps every 4 minutes. Another cell phone beeps every 5 minutes. What are the first three times that the cell phones beep at the same time?

Answers

Answer:

20, 40, 60

Step-by-step explanation:

We can find the LCM by making a list which is my favorite way.

Cell phone number 1: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

Cell phone number 2: 5, 10, 15, 20, 25, 30, 35 40, 45, 50, 55, 60

Answer:

The first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.

Step-by-step explanation:

Let the first cell phone be A, that is, A beeps every 4 minutes

and let the other cell phone be B, that is, B beeps every 5 minutes.

Cell phone A will be at the 4th, 8th, 12th, 16th and 20th minutes while cell phone B will beep at the 5th, 10th, 15th and 20th minutes. Hence, the first time the cell phones will beep together is the 20th minute.

Cell phone A will then beep at the 24th, 28th, 32nd, 36th and 40th minutes while cell phone B will beep at the 25th, 30th, 35th and 40th minutes. The second time the cell phones will beep together is the 40th minute.

Cell phone A will beep at the 44th, 48th, 52nd, 56th and 60th minutes while cell phone B will beep at the 45th, 50th, 55th and 60th minutes. The third time the cell phones will beep together is the 60th minute.  

Hence, the first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.

Given x=-3, y=6, and z=-4 2z-3y+4x=

Answers

Solution:

Given, x=-3, y=6 and z=-4

Putting the value in the given equation: 2z-3y+4x, we will get,

=2(-4)-3(6)+4(-3)

=-8-18-12

=-38

A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost?

Answers

Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

Which statements are true about the table of values? Check all that apply.

xy = 3
When x = 3, y = 1.
x varies directly with y.
k =
The graph of this table would not be linear.

Answers

Answer:

A B and E

Step-by-step explanation:

The statement that is true about the equation xy = 3 is:

When x = 3, y = 1.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

xy = 3

When x = 3, y = 1

Substitute x = 3.

3 x y = 3

y = 1

This is true.

Now,

x varies directly with y.

This means,

x ∝ y

But xy = 3

x = 3/y

This is not possible.

Now,

The graph of this table would not be linear.

xy = 3

x = 1, y = 3

x = 2, y = 3/2 = 1.5

x = 3. y = 1

x = 4, y = 3/4 = 0.75

The rate of change is not the same.

So,

xy = 3 is not linear.

Thus,

When x = 3, y = 1 statement is true.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

(- 5x^-2y) + (6x^7y^-1)+7x^5

Answers

Answer:

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

Step-by-step explanation:

Step 1: Write out expression

-5x⁻²y + 6x⁷y⁻¹ + 7x⁵

Step 2: Move negative exponents to denominator

*x⁻² and y⁻¹ have to be moved. Everything else stays.*

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

please help im stuck on this one i font know how to do inverse operarions​

Answers

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

*  and :

are inverse  operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

A climber is suspended 54 feet below a cliff by a rope. If
she were to climb 18 feet up the rope, how many feet below
the cliff would she be then?

Answers

36 ft, just subtract 18 from 54

Tell whether the equation is true or false. *
3
60 = 20
O True
O False

Answers

the answer to that would be false

Solve for y:

2y-2=4y+2

Answers

Answer:

2y-4y=2+2.

-2y=4.

y= -2.

Answer:

y=−2

Step-by-step explanation:

Step 1: Subtract 4y from both sides.

−2y−2=2

Step 2: Add 2 to both sides.

−2y=4

Step 3: Divide both sides by -2

y=−2

What is a term used to describe two-dimensional figures with all sides and all angles congruent?

Answers

Answer:

congruent figures

Step-by-step explanation:

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