CPM Homework Help : PCT Problem 8-14

Find the equation of the line perpendicular to $y = \frac { 2 } { 3 } x − 4$ that passes through the point $\left(7, 5\right)$ . Express your answer in standard form $\left(Ax + By = C\right)$ .

Hint 1:

The $⊥$ slope is negative the reciprocal of the line slope.

Hint 2:

Use the point - slope form first to find the equation of the $⊥$ line. Then put it in standard form.