,

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.

Convert to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

Add and .

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Add and .

Convert to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

Add and .

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 .

Multiply the numerator and denominator of the complex fraction by .

Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Simplify the denominator.

Multiply .

Multiply by .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Add and .

Reduce the expression by cancelling the common factors.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Simplify the equation and keep it in point-slope form.

Simplify .

Simplify terms.

Apply the distributive property.

Combine and .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Multiply by .

Simplify each term.

Move to the left of .

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 .

Reorder terms.

Remove parentheses.

List the equation in different forms.

Slope-intercept form:

Point-slope form:

Find the Equation Using Point-Slope Formula (-2 3/4,5) , (1 3/4,3)