A line is perpendicular to y - 5 = -1/4 (x + 8) and goes through the point (1, -2). What is the line's y-intercept?

Answer 1

The slope of the given line is m=-1/4

THe slope of the perpendicular line in 4

(1,-2) means x=1 and y=-2

y = mx + b

or

b = y - mx

= -2 - (4)(1)

= -2 - 4

= -6

y = 4x - 6