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Trigonometry Examples
Step 1
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Write in form.
Step 1.2.1
Apply the distributive property.
Step 1.2.2
Multiply by .
Step 1.2.3
Split the fraction into two fractions.
Step 1.2.4
Divide by .
Step 1.2.5
To write as a fraction with a common denominator, multiply by .
Step 1.2.6
Combine and .
Step 1.2.7
Combine the numerators over the common denominator.
Step 1.2.8
Simplify the numerator.
Step 1.2.8.1
Factor out of .
Step 1.2.8.1.1
Factor out of .
Step 1.2.8.1.2
Factor out of .
Step 1.2.8.1.3
Factor out of .
Step 1.2.8.2
Multiply by .
Step 1.2.9
Reorder terms.
Step 1.2.10
Remove parentheses.
Step 2
Step 2.1
Find the values of and using the form .
Step 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 3
Step 3.1
Write in form.
Step 3.1.1
Apply the distributive property.
Step 3.1.2
Multiply by .
Step 3.1.3
Split the fraction into two fractions.
Step 3.1.4
Divide by .
Step 3.1.5
To write as a fraction with a common denominator, multiply by .
Step 3.1.6
Combine and .
Step 3.1.7
Combine the numerators over the common denominator.
Step 3.1.8
Simplify the numerator.
Step 3.1.8.1
Factor out of .
Step 3.1.8.1.1
Factor out of .
Step 3.1.8.1.2
Factor out of .
Step 3.1.8.1.3
Factor out of .
Step 3.1.8.2
Multiply by .
Step 3.1.9
Reorder terms.
Step 3.1.10
Remove parentheses.
Step 3.2
Create a table of the and values.
Step 4
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 5