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I need help with this​

I need help with this​-example-1

1 Answer

2 votes

Answer:

y < 3/4x -2

Explanation:

You want the inequality expression that corresponds to the given graph.

Slope

The boundary line rises 3 squares for each 4 to the right. Its slope is ...

m = rise/run = 3/4

Y-intercept

The boundary line crosses the y-axis at y = -2. Its y-intercept is ...

b = -2

Boundary line equation

The slope-intercept form of the equation of the boundary line is ...

y = mx +b

y = 3/4x -2

Shading

The shading is below the dashed line, so the line is not part of the solution set. Only y-values less than those on the line are in the solution set.

The inequality that describes the graph is ...

y < 3/4x -2

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