Question

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answer 1

3/2 it is rise over run

Answer 2

Answer: $2y-3x=0$

Step-by-step explanation:

We know that the equation of a line with points (a,b) and (c,d) is given by :_

$(y-b)=\frac{d-b}{c-a}(x-a)$

The points on the given line are (0,0) and (-2,-3).

Then the equation of the given line will be :_

$(y-0)=\frac{-3-0}{-2-0}(x-0)\\\\\Rightarrow y=\frac{3}{2}x\\\\\Rightarrow2y-3x=0$

Hence, the equation of the given line in picture is $2y-3x=0$