Answer: See below
Step-by-step explanation:
The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.
[tex]m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}[/tex]
Now that we have the slope, we can fill out the point-slope equation.
y-(-3)=2/5(x-(-3))
y+6=2/5(x+3)
This is the point-slope form.
Now, we can distribute and solve to get slope-intercept form.
y+6=2/5x+6/5
y=2/5x-24/5
