Question

The equation of line k is y = −1/5x − 1/8. What is the equation of the line that is perpendicular to line k and passes through (0, 0)?

A. y = 5x

B. x = -5x

C. x = 8x

D. y = -8x

Answer 1

@563blackghost

Answer 2

Perpendicular lines have reciprocal slopes (so you would flip the fraction and the sign).

\(\large\bf{-\frac{1}{5}~~~\rightarrow~~~-\frac{\color{red}{5}}{\color{red}{1}}~~~\rightarrow~~~\frac{5}{1}}\)

So your equation is: \(\large\bf{y=5x}\). Since your point is `(0,0)` then `b = 0`.

Answer 3

A.

Answer 4

Monica graphed the line y = 3 x + 2. Janice graphs a second line that is parallel to Monica’s and passes through (-2, 0). What is the equation of Janice’s line?

What is the error in Rita’s reasoning?

A. y = 3x + 6


B. y = −1/3x + 2


C. y = −1/3x − 2/3


D. y = 3x - 6

Answer 5

Parallel lines have like slopes so your equation is: \(\bf{y=3x+b}\)

Plug in your known point to find b..

Answer 6

b = -3x + y

Answer 7

you need to plug in your point.

\(\large\bf{0=3(-2)+b}\)

Answer 8

b = 6

Answer 9

the answer is D ?

Answer 10

You got the right intercept, but you changed the sign for some reason...it would be A.

Answer 11

oh ok

Answer 12

This graph represents the path of a ball rolling on a table.

https://learning.k12.com/content/enforced/437405-COF_ID125380/G-GPE.B.5%20Q4.JPG?_&d2lSessionVal=x98CnccW19mQcrEo1ZJp3A15K

A second ball rolls on the table parallel to the first ball. The path passes through (-2, 1). What is the equation of the path of the second ball?

A. y = 1


B. x = 1


C. x = -2


D. y = -2

Answer 13

What do you think your answer is?

Answer 14

B

Answer 15

Not quite, if `x=1` it would create a vertical slope, we want a slope that is parallel, so it would be `y=1`.

Answer 16

Mario drew this line.

https://learning.k12.com/content/enforced/437405-COF_ID125380/G-GPE.B.5%20Q3.JPG?_&d2lSessionVal=x98CnccW19mQcrEo1ZJp3A15K

He wants to draw a second line that is parallel to the first and passes through (4, -5). What is the equation of Mario’s second line?

A. y = −4/3x + 1/3

B. y = 3/4x − 8

C. y = −4/3x − 1/3

D. y = 3/4x + 8

Answer 17

First identify the equation of the line.

It passes through point `(0,7)` and has a rise of 3 with a run of 4 positively.

So your equation is: \(\bf{y=\frac{3}{4}x+7}\)

To find the parallel line you know that it has the same slope so: \(\bf{y=\frac{3}{4}x+b}\)

Plug in your point to find b.

\(\large\bf{-5=\frac{3}{4}(4)+b}\)

What is b?

Answer 18

b = -8

Answer 19

Correct. So your equation is \(\large\bf{y=\frac{3}{4}x+8}\).

Answer 20

welp -8

Answer 21

that was incorrect

Answer 22

\(\large\bf{y=\frac{3}{4}x-8}\) miss type im sorry

Answer 23

nuuuuuuuuuuuuu

Answer 24

i mistyped dat