perpendicular to y=2/3x+9/5 (0,6)

Question

Write an Equation of the lIne with the given attributes. The final answer should be in slope/intercept form.

Answer 1

Perpendicular lines to another line have a slope that is the negative reciprocal and usually a different y-intercept from the original line.

slope of the original line: m = 2/3

slope of the perpendicular line: m = -3/2

perpendicular line: y = -3/2x + b

To find the perpendicular lines's y-intercept, use the given point (It just happens to be the y-intercept).

This is the process if the point isn't the y-intercept. Plug in the point's x and y values and solve for b:

y = -3/2x + b

6 = -3/2 (0) + b

6 = b

perpendicular line: y = -3/2x + 6