Pre-Algebra Examples

,
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.
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.
Finding the slope .
Tap for more steps...
Multiply the numerator and denominator of the complex fraction by .
Tap for more steps...
Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Rewrite.
Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
Tap for more steps...
Multiply by .
Multiply and .
Multiply by .
Divide by .
Cancel the common factor of .
Tap for more steps...
Rewrite.
Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify.
Tap for more steps...
Multiply and .
Multiply by .
Divide by .
Simplify the numerator.
Tap for more steps...
Multiply by .
Subtract from .
Simplify the denominator.
Tap for more steps...
Multiply by .
Subtract from .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Reduce the expression by cancelling the common factors.
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Find the value of using the formula for the equation of a line.
Tap for more steps...
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 .
Tap for more steps...
Rewrite the equation as .
Simplify each term.
Tap for more steps...
Multiply by .
Simplify .
Tap for more steps...
Multiply and .
Multiply by .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
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...
Combine the numerators over the common denominator.
Add and .
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
Enter YOUR Problem
Mathway requires javascript and a modern browser.