We will be using the Point Slope formula which is [tex]y-y_{1} =m(x-x_{1} )[/tex]
The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.
[tex]y- (-5) = -4(x-2)[/tex]
This simplifies into [tex]y+5 = -4x +8[/tex]
Then we can subtract 5 from each side to get the answer:
[tex]y = 4x+3[/tex]
