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Algebra Examples
Step 1
Step 1.1
Rewrite in slope-intercept form.
Step 1.1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.1.2
Write in form.
Step 1.1.2.1
Reorder terms.
Step 1.1.2.2
Remove parentheses.
Step 1.2
Use the slope-intercept form to find the slope and y-intercept.
Step 1.2.1
Find the values of and using the form .
Step 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:
Step 1.3
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
Step 1.3.1
Write in form.
Step 1.3.1.1
Reorder terms.
Step 1.3.1.2
Remove parentheses.
Step 1.3.2
Create a table of the and values.
Step 1.4
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Slope:
y-intercept:
Step 2
Step 2.1
Subtract from both sides of the equation.
Step 2.2
Rewrite in slope-intercept form.
Step 2.2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2.2
Write in form.
Step 2.2.2.1
Reorder terms.
Step 2.2.2.2
Remove parentheses.
Step 2.3
Use the slope-intercept form to find the slope and y-intercept.
Step 2.3.1
Find the values of and using the form .
Step 2.3.2
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 2.4
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
Step 2.4.1
Write in form.
Step 2.4.1.1
Reorder terms.
Step 2.4.1.2
Remove parentheses.
Step 2.4.2
Create a table of the and values.
Step 2.5
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