Question

How to find point-slope form off a graph

Answer 1

For this case we need to remember that the point-slope formula is given by:

y= mx+b

And in order to find the slope we just need to have two points (x1,y1) and (x2,y2) and we can find m like this:

`m=(y_2-y_1)/(x_2-x_1)`

Then if we look at the graph we have two points:

x1= -2, y1= 3

x2= 0, y2= -1

And replacing we got:

`m=(-1-3)/(0+2)=-2`

And using the second point we can find the intercept

3= -2(-2)+b

b= 1

Our solution for this case :

y-3=-2(x+2)