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Trigonometry Examples
Step 1
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
Step 1.2.2.1
Cancel the common factor of .
Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
Step 1.2.3.1
Simplify each term.
Step 1.2.3.1.1
Move the negative in front of the fraction.
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
Step 2
Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Reorder and .
Step 2.3
Reorder terms.
Step 3
Step 3.1
Find the values of and using the form .
Step 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 4
Step 4.1
Write in form.
Step 4.1.1
Reorder and .
Step 4.1.2
Reorder terms.
Step 4.2
Find the x-intercept.
Step 4.2.1
To find the x-intercept(s), substitute in for and solve for .
Step 4.2.2
Solve the equation.
Step 4.2.2.1
Rewrite the equation as .
Step 4.2.2.2
Combine and .
Step 4.2.2.3
Add to both sides of the equation.
Step 4.2.2.4
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 4.2.2.5
Divide each term in by and simplify.
Step 4.2.2.5.1
Divide each term in by .
Step 4.2.2.5.2
Simplify the left side.
Step 4.2.2.5.2.1
Cancel the common factor of .
Step 4.2.2.5.2.1.1
Cancel the common factor.
Step 4.2.2.5.2.1.2
Divide by .
Step 4.2.2.5.3
Simplify the right side.
Step 4.2.2.5.3.1
Cancel the common factor of and .
Step 4.2.2.5.3.1.1
Factor out of .
Step 4.2.2.5.3.1.2
Cancel the common factors.
Step 4.2.2.5.3.1.2.1
Factor out of .
Step 4.2.2.5.3.1.2.2
Cancel the common factor.
Step 4.2.2.5.3.1.2.3
Rewrite the expression.
Step 4.2.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 4.3
Find the y-intercept.
Step 4.3.1
To find the y-intercept(s), substitute in for and solve for .
Step 4.3.2
Solve the equation.
Step 4.3.2.1
Multiply by .
Step 4.3.2.2
Remove parentheses.
Step 4.3.2.3
Simplify .
Step 4.3.2.3.1
Multiply by .
Step 4.3.2.3.2
Subtract from .
Step 4.3.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 4.4
Create a table of the and values.
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 6