Question

What is the equation of the line, in slope-intercept form, that passes through the point (4, -1) and is perpendicular to the line whose equation is 2x - y - 7 = 0?

Answer 1

2x - y - 7 = 0
y = 2x -7
slope of this line = 2
so slope of required line = -1/2
use the general formula

y-y1 = m(x-x1)
so
y - -1 = (-1/2) (x-4)
y + 1 = (-1/2)x + 2
y = (-1/2)x + 1