Question

What is the equation of the following line? Be sure to scroll down first to see

all answer options.
(0,0)
(-1/2,-3)

Answer 1

Answer: Y=-6x

Explanation:

APEX

Answer 2

`y=6x`

Explanation:

we have the ordered pairs

(0,0) and (-1/2,-3)

In this problem we have a proportional relationship, because the line passes through the origin

A proportional variation can be expressed in the form
`k=(y)/(x)` or
`y=kx`

Find the value of the constant of proportionality k

For x=-1/2, y=-3

`k=(y)/(x)` ---->
`k=(-3)/((-1/2))=6`

therefore

The linear equation is equal to

`y=kx`

substitute the value of k

`y=6x`