Question

INTERMEDIATE LEVEL

5. Find the equation of the line passing through
the point
(d) (2, -3) and perpendicular to the line y + 2x = 13.​

Answer 1

y = (1/2)x - 4

Explanation:

The equation of the given line is

y = -2x + 13

The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be

y = (1/2)x + b

To solve for b, use the point (2, -3)

-3 = (1/2)(2) + b ---> b = -4

Therefore, the equation that we need has the form

y = (1/2)x - 4