Pre-Algebra Examples

Graph (0-7) slope=3
Step 1
Graph .
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Use the slope-intercept form to find the slope and y-intercept.
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The slope-intercept form is , where is the slope and is the y-intercept.
Find the values of and using the form .
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Find two points on the line.
Graph the line using the slope, y-intercept, and two points.
Slope:
y-intercept:
Slope:
y-intercept:
Step 2
Graph .
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Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Find the asymptotes.
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Find where the expression is undefined.
is an equation of a line, which means there are no horizontal asymptotes.
No Horizontal Asymptotes
Since there is no remainder from the polynomial division, there are no oblique asymptotes.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes:
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes:
No Horizontal Asymptotes
No Oblique Asymptotes
Step 3
Plot each graph on the same coordinate system.
Step 4
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