How do you make an equation that's perpendicular to the equation y=x+5? The given points are (3,-3)

Question

Please help and explain step by step thank you!

Answer 1

slopes of perpendicular lines multiply to give -1.

slope of y=x+5 is 1
slope of perpendicular line is thus -1

so, you want a line with slope -1 through (3,-3).

Pull out your point-slope form of the line:

y+3 = -1(x-3)
y = -x