CPM Homework Help : AC Problem 10-32

Write the inequality represented by the graph at right.

Hint 1:

Use a slope triangle to find the slope of the line.
$\text{Slope}=-\frac{2}{3}$

Hint 2:

Find the $y$ -intercept on the graph. $\left(0,2\right)$

The same graph but with a triangle with vertices at (3, comma 0), (0, comma 0), and (0, comma 3).

Hint 3:

Now substitute the slope and the $y$ -intercept into the Slope-Intercept form of a line. $y=mx+b$
$y=-\frac{2}{3}+2$

Hint 4:

Replace the ' $=$ ' with a ' $<$ ' sign, as the graph has the portion below the line shaded.

Answer:

$y<-\frac{2}{3}x+2$