Finite Math Examples

Find the Equation Using Two Points (1940,241681) , (2005,1186412)
,
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
Finding the slope .
Tap for more steps...
Step 5.1
Simplify the numerator.
Tap for more steps...
Step 5.1.1
Multiply by .
Step 5.1.2
Subtract from .
Step 5.2
Simplify the denominator.
Tap for more steps...
Step 5.2.1
Multiply by .
Step 5.2.2
Subtract from .
Step 6
Find the value of using the formula for the equation of a line.
Tap for more steps...
Step 6.1
Use the formula for the equation of a line to find .
Step 6.2
Substitute the value of into the equation.
Step 6.3
Substitute the value of into the equation.
Step 6.4
Substitute the value of into the equation.
Step 6.5
Find the value of .
Tap for more steps...
Step 6.5.1
Rewrite the equation as .
Step 6.5.2
Simplify each term.
Tap for more steps...
Step 6.5.2.1
Cancel the common factor of .
Tap for more steps...
Step 6.5.2.1.1
Factor out of .
Step 6.5.2.1.2
Factor out of .
Step 6.5.2.1.3
Cancel the common factor.
Step 6.5.2.1.4
Rewrite the expression.
Step 6.5.2.2
Combine and .
Step 6.5.2.3
Multiply by .
Step 6.5.3
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 6.5.3.1
Subtract from both sides of the equation.
Step 6.5.3.2
To write as a fraction with a common denominator, multiply by .
Step 6.5.3.3
Combine and .
Step 6.5.3.4
Combine the numerators over the common denominator.
Step 6.5.3.5
Simplify the numerator.
Tap for more steps...
Step 6.5.3.5.1
Multiply by .
Step 6.5.3.5.2
Subtract from .
Step 6.5.3.6
Move the negative in front of the fraction.
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