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

Write an equation of a line passing through (4,-3) that's perpendicular to y = -x -5

1. Perpendicular slopes are the negative reciprocal of each other. The line has a slope of -1, so the perpendicular line will have a slope of +1
2. Y = 1(x) + b To solve for B, use the (x,y) coordinate to plug in the equation and solve for b
3. -3 = 1(4) + b
4. -7 = b Now plug this back into the first dot point equation above
5. Y = 1(X) -7
6. Y = X - 7 answer

Does this process make sense to you?