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.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Multiply by to get .
Subtract from to get .
Simplify the denominator.
Tap for more steps...
Remove parentheses.
Multiply by to get .
Add and to get .
Divide by to get .
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 to get .
Simplify the right side.
Tap for more steps...
Subtract from to get .
Multiply by to get .
Rewrite as .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
The final answer is the equation in slope-intercept form.
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time
Mathway requires javascript and a modern browser.

Please Rate Your Tutor

Could not save your feedback. Please try again.

Please select a rating.

Thanks for your feedback!

  [ x 2     1 2     π     x d x   ]