To find the function rule for the line ,
we pick two points from the graph
Lets pick (-2,1) and (0,-2)
We find the slope using two given points
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
(-2,1) is (x1,y1) and (0,-2) is (x2,y2)
Plug in the values in the slope formula
[tex]slope = \frac{-2 - 1}{0 - (-2)}[/tex]
[tex]slope = \frac{-3}{2}[/tex]
To frame equation we use equation y = mx + b
Here y intercept is -2 that is our b
So equation becomes [tex]y=\frac{-3}{2} x -2[/tex]
