Question

Graph this inequality:
y≥–7/6x
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Answer 1

To graph the inequality y ≥ -7/6x, first graph the line y = -7/6x.

To do this, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -7/6, and the y-intercept is 0 (since there is no constant term).

Plotting the y-intercept at (0,0), we can use the slope to find other points on the line.

Using the slope, we can determine that as we move right 6, we should move down 7. This gives us the point (6, -7).

Plotting these two points and drawing a line through them, we have the boundary line.

Next, we need to determine whether to shade above or below the boundary line. In this case, since y is greater than or equal to -7/6x, we shade above the line.

The graph of the inequality y ≥ -7/6x can be shown as follows:
(solid line and shading above the line)



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----------------/---------------------- (boundary line: y = -7/6x)
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