What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5

Answers

Answer 1

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer 2

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.


Related Questions

Did I get it correct?

Answers

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Pls help??????????????

Answers

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):

Answers

Answer:

10x + 60 ; 20x

Step-by-step explanation:

Given that:

Purchase price per bracelet = $10

Cost of booth = $60

Selling price per bracelet = $20

Hence,

Let number of bracelets = x

Expense equation :

(Price per bracelet * number of bracelet) + booth fee

(10 * x) + 60

10x + 60

Income equation :

Selling price * number of bracelets

20x

6x + 57= 135 solve x​

Answers

Answer:

can't find answer sorry

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)

.

y=−45x−5

y=−4/5x−8

y=−4/5x−4

y=−4/5x+4

Answers

Our point is (-5, -4)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - y1) = m(x - x1)

(y - (-4)) =-4/5(x - (-5))

y + 4 = -4/5x +4

An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,

y = mx + c

-4 = -4/5 x - 5 + c

-4 = 4 + c

c = -8

The equation will be written as,

y = -4/5x - 8

To know more about an equation of the line follow

To know more about an equation of the line follow

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Find the missing side length, N. ​

Answers

Answer : 15

We know these triangles are congruent. To find the missing side, you first have to find out what the scale factor is. To do this you can just divide side QS by side AC, which would give you 2.5.
You would then multiply this scale factor by side BC, giving you side N, which is 15.

We know these triangles are congruent with the missing side, N would be equal to 15.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We know these triangles are congruent.

To find the missing side, N

ΔABC ≅ΔQRS

AC/QS = BC/RS

2/5 = 6/n

n = 6 x 5/2

n = 30/2

n = 15

Thus, the value of N is 15.

Learn more about triangles;

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Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

The cat is 12 feet above the ground and the ladder is 9 feet away from the tree because of the mud. How long does the ladder needs to be to reach the tree

Answers

Answer:

15 feet

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).

To solve for the length of the ladder, use the Pythagorean Theorem.

[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]

Help will mark brainlist.

1=
2=
3=
4=

Answers

1=45
2=45
3=45
4=45

4x45=180

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

please help, can't understand.

Answers

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

What is the area of the triangle in the diagram?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

We need to figure out the base and the height. We can do that using pythagorean's theorem.

The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.

What type of number can √134 be classified as?

A) irrational number
B) Rational number
C) integer
D) whole number

What type of number is 0 classified as?

A) Irrational number
B) Whole number
C) Integer

Answers

Answer:

[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]

:-)

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

What is the area of a rectangle with a base of 7 cm and a height of 11 cm

Answers

Answer: 77

Step-by-step explanation:

Pls help and show workings

Answers

Step-by-step explanation:

AB = 72 so, then FB would be half of that

so 72 divided by 2 would be 36

5x+1=36 then do substitution

-1 from both sides (from +1 you gotta do the inverse)

5x = 35

divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide

x = 7

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?

Answers

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

What is the value of 7(4 + x) when x = 5?

Answers

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63

What is the equation

Answers

what equation? there isn’t any shown.

what is 1/2x + 8 < -4 ?

Answers

Answer:

-1/24 < x < 0

Step-by-step explanation:

1/2x + 8 must be less than -4 therefore x can only be x<-24

2 w = 2p - 3z
a Find w when p = 8 and z = -2

Answers

Answer:

11

Step-by-step explanation:

2w = 2×8 - (-2×3)

2w = 16 - (-6)

2w = 22

w = 11

1) What are the solutions of (x/3) > -1?

is this asking if I need multiple solutions?​

Answers

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

A 123​-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Answers

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

one more than the product of 6 and a number v?


Plzzzzzz help me:(


And PLZZZ answer right


Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)

Answers

Hello there!

The answer would be 1+6*f

Hope this helps

Have a fantastic day

Answer the following Question with Appropriate Explanation

Answers

Answer:

option is B)

Step-by-step explanation:

2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.

2x = 4

hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...

Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?

Answers

Answer:5.25

Step-by-step explanation:

Mariah025 answer here please

Answers

Answer:

wht

!?

............

..............

..

.

Helpppppp plssssssssss

Answers

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?

Answers

Alright, denote sweatshirts by x and tshirts by y:
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!
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