Algebra Examples

Graph x+y>4 y>=3/2x-9
Step 1
Graph .
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Step 1.1
Write in form.
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Step 1.1.1
Subtract from both sides of the inequality.
Step 1.1.2
Rearrange terms.
Step 1.2
Use the slope-intercept form to find the slope and y-intercept.
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Step 1.2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2.2
Find the values of and using the form .
Step 1.2.3
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 1.3
Graph a dashed line, then shade the area above the boundary line since is greater than .
Step 2
Graph .
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Step 2.1
Find the slope and the y-intercept for the boundary line.
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Step 2.1.1
Rewrite in slope-intercept form.
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Step 2.1.1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.1.1.2
Simplify the right side.
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Step 2.1.1.2.1
Combine and .
Step 2.1.1.3
Reorder terms.
Step 2.1.2
Use the slope-intercept form to find the slope and y-intercept.
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Step 2.1.2.1
Find the values of and using the form .
Step 2.1.2.2
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Slope:
y-intercept:
Step 2.2
Graph a solid line, then shade the area above the boundary line since is greater than .
Step 3
Plot each graph on the same coordinate system.
Step 4