Answer:
y + 4 = 4(x - 2)
Explanation:
Point slope form: y - y1 = m(x - x1)
Where m = slope and (x1 , x2) = any given point.
We are given that the equation has a slope of 4 and passes through the point (2,-4)
So m = 4 and (x1,y2) = (2,-4)
We then plug in these values into the point slope form equation to get the answer.
y - y1 = m(x - x1)
m = 4 and (x1,y1) = (2,-4)
plug in values
y - (-4) = 4(x-2)
remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign
We end up with y + 4 = 4(x-2)