Pre-Algebra Examples

Graph x-3 , y-1/3
,
Step 1
Graph .
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Step 1.1
Use the slope-intercept form to find the slope and y-intercept.
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Step 1.1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.1.2
Find the values of and using the form .
Step 1.1.3
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 1.2
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
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Step 1.2.1
Create a table of the and values.
Step 1.3
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Slope:
y-intercept:
Step 2
Graph .
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Step 2.1
Solve for .
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Step 2.1.1
Rewrite the equation as .
Step 2.1.2
Add to both sides of the equation.
Step 2.2
Use the slope-intercept form to find the slope and y-intercept.
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Step 2.2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2.2
Find the values of and using the form .
Step 2.2.3
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 2.3
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
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Step 2.3.1
Find the x-intercept.
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Step 2.3.1.1
To find the x-intercept(s), substitute in for and solve for .
Step 2.3.1.2
Solve the equation.
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Step 2.3.1.2.1
Rewrite the equation as .
Step 2.3.1.2.2
Subtract from both sides of the equation.
Step 2.3.1.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 2.3.2
Find the y-intercept.
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Step 2.3.2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.3.2.2
Solve the equation.
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Step 2.3.2.2.1
Remove parentheses.
Step 2.3.2.2.2
Remove parentheses.
Step 2.3.2.2.3
Add and .
Step 2.3.2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 2.3.3
Create a table of the and values.
Step 2.4
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Slope:
y-intercept:
Step 3
Plot each graph on the same coordinate system.
Step 4