Question

Which of the following is the equation of a line that is perpendicular to 4y = -x + 8 and that has a y-intercept of 8?
y = 4x + 8
4y = 4x + 8
y - 4x = -8
y = 1/4 x + 8

Answer 1

given 'y intercept is 8 and slope of the line is 4 hence y=4x=8 is the correct answer

Answer 2

if you wanna know how did i find the slope then read the following lines
since 4y=-x+8
i.e. y=(-1/4)x+2 clearly slope of the given line will be (-1/4)
and slope of the perpendicular line will be -1x reciprocal of the given slope
i.e. +4