Precalculus Examples
,
Step 1
Use to calculate the equation of the line, where represents the slope and represents the y-intercept.
To calculate the equation of the line, use the format.
Step 2
Slope is equal to the change in over the change in , or rise over run.
Step 3
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Step 4
Substitute in the values of and into the equation to find the slope.
Step 5
Simplify the numerator.
Multiply by .
Subtract from .
Simplify the denominator.
Multiply by .
Add and .
Divide by .
Step 6
Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Find the value of .
Rewrite the equation as .
Simplify .
Multiply by .
Add and .
Step 7
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
Step 8