Question

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

all answer options.

Answer 1

I'm pretty sure its A

Explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer 2

Option: A is the correct answer:

`A.\ y=-3x`

Explanation:

The equation of a line passing through two points (a,b) and (c,d) is calculated with the help of a two-point formula:

`y-b=(d-b)/(c-a)* (x-a)`

Based on the graph we observe that the line passes through:

(0,0) and (3,-9)

i.e. we have: (a,b)=(0,0) and (c,d)=(3,-9)

i.e. the equation of line is given by:

`y-0=(-9-0)/(3-0)* (x-0)\\\\i.e.\\\\y=(-9)/(3)* x\\\\i.e.\\\\y=-3x`

The answer is: Option: A