Precalculus Examples

Rewrite the function as an equation.
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:
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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Find the x-intercept.
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To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
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Rewrite the equation as .
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercept.
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To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
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Remove parentheses.
Simplify .
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Multiply by .
Subtract from .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Create a table of the and values.
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
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