Practice!

Sample Problem

Write the equation of the line that is perpendicular to the line y = -2x + 1 and goes through the point (4, 3).

y = x +

Solution

Perpendicular lines have slopes that are negative reciprocals of each other.

We know that the equation of a line perpendicular to y = -2x + 1 must have a slope of ,

so we can plug in the point we know on the new line and solve for b. 3 = (4) + b; b = 1.

So we have y = x + 1