### Home > CCA > Chapter 6 > Lesson 6.1.4 > Problem6-39

6-39.

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

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.