### Home > AC > Chapter 10 > Lesson 10.2.5 > Problem10-96

10-96.

On graph paper, graph a line with slope $-\frac{2}{3}$ that goes through the point $(4,-3)$.

1. Find the equation of the line.

Substitute in the known values for slope $x$, and $y$ to find the $y$-intercept of this line.

Now solve this equation for $b$.

2. Is this line perpendicular to the line $6x-4y=8$? Explain how you know.

The slope of a line (a) perpendicular to another line (b) is the opposite reciprocal of line (b)'s slope.
Solve this equation for $y$ to find the slope and compare it to the slope of the line in part (a).