### Home > CC4 > Chapter 10 > Lesson 10.1.3 > Problem10-47

10-47.

Write the inequality represented by the graph below. Homework Help ✎

Use a slope triangle to find the slope of the line.

$\text{Slope=-\frac{2}{3}}$

Find the y-intercept on the graph. (0,2)

Now substitute the slope and the y-intercept into the Slope-Intercept form of a line. y = mx + b

$\textit{y}=-\frac{2}{3}+2$

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

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