3. Writing Equations of Parallel and Perpendicular Lines
Sign In
Perpendicular lines have negative reciprocal slopes.
7/5, see solution.
Two nonvertical lines are perpendicular if their slopes are negative reciprocals. Numbers are negative reciprocals if their product is -1. We need to find the slope that, when multiplied by - 57, will give us a product of -1.
Put minus sign in numerator
LHS * 7=RHS* 7
.LHS /(-5).=.RHS /(-5).
- a/- b=a/b
The slope of the second line must be 75 if the two lines are perpendicular.