In the xy-coordinate plane, the slope of line L is 3 and its y-intercept is 2. what is the equation of the line perpendicular to L that intersects L at its y- intercept?
First, we need to determine the slope of the line perpendicular to L. The slope of L, let's call it
And, because the y-intercepts are the same we can use the slope-intercept to find the equation for the line in the problem:
The slope-intercept form of a linear equation is:
Substituting the slope we calculated and the y-intercept from the problem gives: