Question

17. Write the equation of a line that is perpendicular to the given line and that passes through the

given point.

Answer 1

y = 5x + 17

Explanation:

gradient of perpendicular = - 1/ (-1/5) = - (-5) = 5.

equation of line, gradient 5, through (-2, 7) is

y - 7 = 5 (x - -2) = 5 (x + 2) = 5x + 10

y = 5x + 10 + 7

y = 5x + 17