Question

What is the equation of the line that is perpendicular to y = 2x – 4 and has a y-intercept of –2?

Answer 1

y = 2x - 4
slope here is 2

a perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign.
The negative reciprocal of 2 or 2/1 is - 1/2 (see how I flipped the slope and changed the sign)

so we need an equation where the slope(m) is -1/2 and the y intercept (b) = -2.

that would be : y = -1/2x - 2
because the slope is in the m position and the y intercept is in the b position