Mathematics High School

Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

Answer:

[tex]y = -\frac{2}{5} x-6[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]  

So, the slope of the line is [tex]-\frac{2}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]

Related Questions

-x+ x² - 6 what is the answer ​

Answers

Answer:

x2−x−6

Step-by-step explanation:

Answer:

(x-3)(x+2)

Step-by-step explanation:

if you run 2 1/2 miles each day how far are you going

Answers

Answer:

2 1/2 miles

Step-by-step explanation:

my teacher

I will give BRAINLIEST

Answers

Answer:

D.

Step-by-step explanation:

the factors are (x-1)(x+4)(x-4)

4x + x + 5-9 + x = -3 - 7 + x
Solve the equation

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3Answer:

Let's solve your equation step-by-step.

4x + x + 5 − 9 + x = −3 − 7 + x

Step 1: Simplify both sides of the equation.

4x + x + 5 − 9 + x = −3 − 7 + x

4x + x + 5 + −9 + x = −3 + −7 + x

( 4x + x + x ) + ( 5 + −9 ) = ( x ) + ( −3 + −7 )

( Combine Like Terms )

6x + −4 = x + −10

6x − 4 = x − 10

Step 2: Subtract x from both sides.

6x − 4 − x = x − 10 − x

5x − 4 = −10

Step 3: Add 4 to both sides.

5x − 4 + 4 = −10 + 4

5x = −6

Step 4: Divide both sides by 5.

5x / 5 = −6 / 5

x= −6 / 5

Answer:

x= −6 / 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Please help me with geometry :(

Answers

Answer:

I think it's C is true but make sure

the answers are
1. 15
2. 60
3. 30

What is the surface area of a dome (a half sphere) with a radius of 6 meters?
72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared

Answers

Answer: 72π meters squared.

Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;

Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.

If you guys could help this is urgent!!

Answers

Answer:

J

Step-by-step explanation:

The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?​

Answers

Answer:

mdndmdkdkdkdkd

Step-by-step explanation:

kdkdkdjfjfk

The answer is 2400 cm^3

You just need to multiply the dimensions.

An equation is given.

2x = 26

which calculation would need to be done to solve the equation?

a. divide both sides by 2
b. divide both sides by 26
c. multiply both sides by 2
d. multiply both sides by 26

Answers

Answer:

option A is correct answer

divide both sides with 2

hope it helps

Answer:

option A is the right condition to be fulfilled to solve the equation.

If a tree casts out a 24 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree

Answers

The tree is 12 yards tall

This one is really hard for me can someone please help!

Answers

Answer:

Triangle=94

Rectangle=864

Step-by-step explanation:

Triangle:

4*3=12, *2=24

6*5=30

6*3=16

4*6=24

24+24=48, +30=78, +16=94

Rectangle:

30*7=210, +210=420

30*6=180, +180=360

7*6=42, +42=84

420+360=780, +84=864

HELPPPPP FAST PLEASEEEEEEEEEEEE

Answers

Answer:

45?

Step-by-step explanation:

CAN SOMEONE HELP ME WITH #2 PLEASE????

Answers

Answer:

Step-by-step explanation:

1. Solve for x
(5x - 10)

Answers

Solveeeeeeeeee for x 5(x-2).

Answer:

5 (x - 2)

Step-by-step explanation:

1. Factor by grouping

5 (x - 2)

This is the answer.

I hope this helps      :)

I'm losing all my points cause i'm so du.mbbbbbbbb

Answers

Answer:

-1/3

Step-by-step explanation:

-1/2 is the answer and try to don't lose points next time.

I WILL GIVE BRAINLIEST

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):


A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.


Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)


Part B: Solve for k in each type of transformation. (4 points)


Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

A or C can be it because It is not b

35 percent of the students are boys which is 259 find the total number of the students and girls​

Answers

Answer:

740 total students, 481 total girls

Step-by-step explanation:

Let x be the total number of students and y be the total number of girls

x -

You know that 35% of the students is 259 students. If you convert this into algebra, you can write : 0.35x = 259, after simplifying, you know that x = 740.

y-

You know that 35% of the students are boys, so 65% must be girls. You can say that 65% of x is y and write the equation 0.65(740)=y. After simplifying, you can see that y = 481.

I hope this helps :)

23,716 ÷ 74 =
help me ;.)

Answers

Answer: 320.48

Step-by-step explanation: Calculator work (:

Answer:

320.486486

Step-by-step explanation:

Not entirely sure if this is correct.

Algebraically, determine the exact value of x for the
equation 85(2)0.4x = 6000.

Answers

Answer: 14,575

Step-by-step explanation:

85(2) 0.4x = 6000      Multiply 85 times 2

170 + 0.4x = 6000      Subtract 170 from both sides

         0.4x = 5830       Divide 5830 by 0.4

             x = 14,575

The perimeter of a square is 100 cm. How long is one diagonal?​

Answers

Since the 4 sides of the square are equal, divide the perimeter by 4 to get one side.

100/4 = 25 cm

If a fair coin is tossed 3 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
ANSWER IS 0.125

Answers

the answer is 0.125?

PLEASE HELP IM TIMED NO LINKS :((((((( HELPPPPP

Answers

1) 56 students

2) 92 students

3) 20 students

4) 16

5) 14

6) 164

Hope this helped!

Mark brainliest if you want<3

#6 need help asap will give brainly

Answers

Answer: 420 feet
Explanation: 10x9=90x2=180 + 12x10=120x2=240 = 420

total surface area Stot = 636 ft2

lateral surface area Slat = 420 ft2

top surface area Stop = 108 ft2

bottom surface area Sbot = 108 ft2

Find the y intercept and the slope

Answers

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

What is the square root of 134.66

Answers

Answer:

11.6 or 12

Step-by-step explanation:

Answer:

11.6043

Step-by-step explanation:

In triangle ABC, angle C is a right angle. Find the value of the trig function.
Find the cos(A) if c= 15, a=9, b= 12

Answers

Answer:

its a

Step-by-step explanation:

what is the value of the expression when s=2 and t=1.5 -3|5-s3|+3t​

Answers

Answer:

-4.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

|Absolute Value| - makes any negative number positive

Step-by-step explanation:

Step 1: Define

-3|5 - s³| + 3t

s = 2

t = 1.5

Step 2: Evaluate

Substitute in variables:                                                                                     -3|5 - 2³| + 3(1.5)|Absolute Value| Exponents:                                                                            -3|5 - 8| + 3(1.5)|Absolute Value| Subtract:                                                                               -3|-3| + 3(1.5)Absolute Value:                                                                                                -3(3) + 3(1.5)Multiply:                                                                                                             -9 + 4.5Add:                                                                                                                   -4.5

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

Answers

Answer:

Step-by-step explanation:

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

In the year 2002, a company made $3.3 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2006, to the nearest tenth of a million dollars?

Answers

Answer:

The profit would be 7.7 million in 2007

Step-by-step explanation:

Someone please please help me on this!!!!

Answers

Answer:

constant of proportionality is 3.5, just divide the y column by the x column

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