First, we must plug into point-slope form.
Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y-10=-3(x+10)[/tex]
Solve.
[tex]y-10 = -3(x+10)
y-10=-3x - 30
+ 10 --------+10
y= -3x - 20 = y = m(x) + b = Slope intercept form. [/tex]
Thus, the answer is: [tex]y=-3x-20[/tex]