### Home > INT1 > Chapter 4 > Lesson 4.1.4 > Problem4-37

4-37.

Determine the slope and intercepts for the line $2x+3y=6$ and then draw a graph.

Rewrite the equation in $y = mx + b$ form.

The $x$-intercept will have $0$ for the $y$-value, (and the reverse for the $y$-intercept) so substitute $0$
in for the $y$ to find the $x$-intercept, and then do the opposite for the $y$-intercept.

$m\text{(slope)}=\frac{-2}{3}$

Intercepts: $(3,0), (0,2)$

To draw a graph, plot the intercept points and then draw a line to connect the points.