# Find the Equation Using Point-Slope Formula (-2 3/4,5) , (1 3/4,3) ,
Find the slope of the line between and using , which is the change of over the change of .
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.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Convert to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
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 .
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.
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.
Solve for .
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 .
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)

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