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Home > AC > Chapter 10 > Lesson 10.1.3 > Problem 10-32

10-32.

Write the inequality represented by the graph at right.    

A 4 quadrant coordinate plane has a dashed line that goes through the points (0, comma 2) and (3, comma 0) which divides the plane into 2 regions. The region to the left and below the line is shaded.

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

Find the -intercept on the graph.

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

Now substitute the slope and the -intercept into the Slope-Intercept form of a line.

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