Find the Slope and Y-Intercept (-2,-7) , (4,-5)

,
Find the value of the slope.
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.
Simplify the numerator.
Multiply by .
Add and .
Simplify the denominator.
Multiply by .
Add and .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Find the value of the y-intercept.
Substitute the value of into the slope-intercept form of the equation, .
Substitute the value of into the slope-intercept form of the equation, .
Substitute the value of into the slope-intercept form of the equation, .
Rewrite the equation as .
Simplify each term.
Combine and .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Add and .
Move the negative in front of the fraction.
The values of the slope and y-intercept are and .
Find the Slope and Y-Intercept (-2,-7) , (4,-5)

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