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?

Answer 1

First find slope of first line given the two points

Slope is change in y over change in x

0-1 over 5-0

Slope = -1/5

Slope of the line perpendicular to this line has a slope that is the negative reciprocal.

Slope of the new line is 5

You are given the y intercept with the first point so put these things together in the slope intercept formula

Y=5x +1

Explanation: