Write an equation of the line passing through point P that is perpendicular to the given line. P(4,−3), y=−x−5

Answer 1

the perpendicular line has a slope = negative inverse of -1 or +1

y=x+b where b is the y intercept

plug y=-3 and x=4 into that equation to get

-3 = 4 + b, solve for b

b = -7

the perpendicular equation is

y=x - 7