Question

Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the other line

Answer 1

y + 4x - 6 = 0

Explanation:

Rearranging the given equation:-

4y = x + 24

y = 1/4 x + 6

This has a y intercept of (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y + 4x - 6 = 0 is the required equation