### Home > AC > Chapter 7 > Lesson 7.1.5 > Problem7-48

7-48.

Consider this system of equations:

$\left. \begin{array} { l } { y = 2 x - 8 } \\ { y = - \frac { 2 } { 3 } x } \end{array} \right.$

1. Use your knowledge of $y = mx + b$ to graph the lines without tables.

Remember:
$b = \text{the } y\text{-intercept}$
$m = \text{the slope}$

2. Use the graph to find the point of intersection.

The point of intersection is $\left(3, −2\right)$. Where is this point on the graph?

3. Confirm this point of intersection by solving the system algebraically.

Use the Equal Values Method.