### Home > AC > Chapter 7 > Lesson 7.2.1 > Problem7-59

7-59.

Find the equation of each of the lines graphed at right. Then confirm algebraically that $\left(1, 1\right)$ is the point of intersection.

Use $y = mx + b$.
You need to find the slope and $y$-intercept of each line.

For one of the lines, the slope is $3$ and the $y$-intercept is $-2$.
Therefore its equation in $y=3x-2$. Now write the equation of the other line.

Use the Equal Values Method to confirm that $\left(1, 1\right)$ is the point of intersection.