Enter a problem...
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
Rearrange terms.
Step 1.2.2
Write as a fraction with a common denominator.
Step 1.2.3
Combine the numerators over the common denominator.
Step 1.2.4
Factor out of .
Step 1.2.5
Rewrite as .
Step 1.2.6
Factor out of .
Step 1.2.7
Rewrite as .
Step 1.2.8
Move the negative in front of the fraction.
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
Rearrange terms.
Step 3.1.2
Write as a fraction with a common denominator.
Step 3.1.3
Combine the numerators over the common denominator.
Step 3.1.4
Factor out of .
Step 3.1.5
Rewrite as .
Step 3.1.6
Factor out of .
Step 3.1.7
Rewrite as .
Step 3.1.8
Move the negative in front of the fraction.
Step 3.2
Find the x-intercept.
Step 3.2.1
To find the x-intercept(s), substitute in for and solve for .
Step 3.2.2
Solve the equation.
Step 3.2.2.1
Rewrite the equation as .
Step 3.2.2.2
Simplify .
Step 3.2.2.2.1
To write as a fraction with a common denominator, multiply by .
Step 3.2.2.2.2
Simplify terms.
Step 3.2.2.2.2.1
Combine and .
Step 3.2.2.2.2.2
Combine the numerators over the common denominator.
Step 3.2.2.2.3
Simplify the numerator.
Step 3.2.2.2.3.1
Move to the left of .
Step 3.2.2.2.3.2
Apply the distributive property.
Step 3.2.2.2.3.3
Multiply by .
Step 3.2.2.2.3.4
Reorder terms.
Step 3.2.2.3
Set the numerator equal to zero.
Step 3.2.2.4
Solve the equation for .
Step 3.2.2.4.1
Move all terms not containing to the right side of the equation.
Step 3.2.2.4.1.1
Subtract from both sides of the equation.
Step 3.2.2.4.1.2
Add to both sides of the equation.
Step 3.2.2.4.2
Divide each term in by and simplify.
Step 3.2.2.4.2.1
Divide each term in by .
Step 3.2.2.4.2.2
Simplify the left side.
Step 3.2.2.4.2.2.1
Cancel the common factor of .
Step 3.2.2.4.2.2.1.1
Cancel the common factor.
Step 3.2.2.4.2.2.1.2
Divide by .
Step 3.2.2.4.2.3
Simplify the right side.
Step 3.2.2.4.2.3.1
Divide by .
Step 3.2.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 3.3
Find the y-intercept.
Step 3.3.1
To find the y-intercept(s), substitute in for and solve for .
Step 3.3.2
Solve the equation.
Step 3.3.2.1
Remove parentheses.
Step 3.3.2.2
Remove parentheses.
Step 3.3.2.3
Subtract from .
Step 3.3.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3.4
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