How do you answer this

Question

Find the equation of a line perpendicular to 𝑦 = 3/4𝑥 − 1, and the same y-intercept as 𝑦 = 5𝑥 + 7 .

Answer 1

The y-intercept is 7, so start with

y = mx + 7

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line is

m = -1/(3/4) = -4/3

Then the equation of the perpendicular line is

y = (-4/3)x + 7