Use point slope formula y-y1=m(x-x1) You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)
In point slope form, you have the following:
y-(-2)=-1(x-3).
To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:
y+2=-x+3
Subtract 2 from both sides to get
y=-x+1
In slope intercept form, the answer is y=-x+1 and in point slope form, the answer is y+2=-x+3
