Precalculus Examples

Find the Equation Using Point-Slope Formula
,
Find the slope of the line between and using , which is the change of over the change of .
Tap for more steps...
Slope is equal to the change in over the change in , or rise over run.
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).
Substitute in the values of and into the equation to find the slope.
Simplify.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Multiply by .
Subtract from .
Simplify the denominator.
Tap for more steps...
Remove parentheses.
Multiply by .
Add and .
Move the negative in front of the fraction.
Use the slope and one of the given points such as to substitute for and in the point-slope form , which is derived from the slope equation .
Solve for to get the equation.
Tap for more steps...
After finding the slope between the points, use point-slope form to set up the equation. Point-slope is derived from the equation for slope .
Multiply by .
Simplify the right side.
Tap for more steps...
Simplify the expression.
Tap for more steps...
Multiply by .
Apply the distributive property.
Simplify .
Tap for more steps...
Write as a fraction with denominator .
Multiply and .
Simplify .
Tap for more steps...
Multiply by .
Write as a fraction with denominator .
Multiply and .
Multiply by .
Simplify each term.
Tap for more steps...
Move to the left of the expression .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
Tap for more steps...
Add to both sides of the equation.
Simplify the right side of the equation.
Tap for more steps...
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Multiply by .
Subtract from .
The final answer is the equation in slope-intercept form.
Enter YOUR Problem
Mathway requires javascript and a modern browser.