Q:

Which equation represents the graphed function? A. –3x + 2 = y B. –x + 2 = yC. x – 3 = yD. 2x – 3 = y

Accepted Solution

A:
Solution:we have been asked to find Which equation represents the graphed function? As we can see in the graph, the line is passing through the point (2,0) and (0,-3).As we know the equation of the passing through two points is given by the formula[tex](y-y_1)=m(x-x_1)\\ \\ m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2}  \\[/tex]So the equation of the line will be [tex]y-0=\frac{3}{2}(x-2)\\ \\ y= \frac{3}{2}x-3\\ \\[/tex]