Question

write a equation of a line that goes through (1,2) that is perpendicular to y=-4x+6

Answer 1

4y = x + 7.

Explanation:

The slope of a line perpendicular to a line of slope m = -1/m

So the slope of the required line = -1/ (-4) = 1/4.

y - y1 = m(x - x1)

y - 2 = 1/4(x - 1)

y = 1/4(x - 1) + 2

y = 1/4x - 1/4 + 2

y = 1/4x + 7/4

4y = x + 7