Question

On a coordinate plane, a line goes through (0, 1) and (5, 0).
What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

y = One-fifthx + 1
y = One-fifthx + 5
y = 5x + 1
y = 5x + 5

Answer 1

First line slope = (0−1)/(5−0) = −1/5, y-intercept = 1.
Perpendicular slope = −1/(−1/5) = 5, same y-intercept 1, so equation: y = 5x + 1.