### Home > AC > Chapter 9 > Lesson 9.2.1 > Problem9-31

9-31.

Line m has intercepts $\left(−7, 0\right)$ and $\left(0, −2\right)$.

1. Find the equation of line m.

You are given the y-intercept. Calculate the slope and write the equation.

2. Is the point $\left(49, −16\right)$ also on line m? How do you know?

Substitute the given point into the equation you wrote in part (a). Do you get a true statement?

3. Write the equation of a line that is perpendicular to line m and passes through the point $\left(6, −1\right)$.

The slope of the perpendicular line will be the opposite reciprocal of line m.