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Multiplication Property of Square and Cube Roots
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Factoring The Difference of 2 Squares
Solving Polynomial Equations
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Writing Linear Equations in Standard Form
Solving Nonlinear Equations by Substitution
Straight Lines
The Square of a Binomial
Solving Equations
Adding and Subtracting Like Fractions
Point
Finding the Equation of an Inverse Function
Slope of a Line
Rules for Nonnegative Integral Exponents

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Point-Slope Form for the Equation of a Line

Example

Find the equation of the line that passes through the points (-2, 7) and (6, 3). Write your answer in point-slope form.

Solution

To find the equation in point-slope form, we first find m, the slope of the line.

Let (x₁, y₁) = (-2, 7) and (x₂, y₂) = (6, 3).	m
Substitute the values in the slope formula.
Simplify.
Reduce.
The slope of the line is . Now that we have the slope and a point, we can use the point-slope form to find the equation of the line.	y - y₁	= m(x - x₁)
Substitute for m. We can substitute either given point for (x₁, y₁). Letâ€™s use (6, 3).	y - y₁
Therefore, substitute 6 for x₁ and 3 for y₁.	y - 3

The point-slope form of the equation of the line that passes through (-2, 7) and (6, 3) is

Note:

If we had used the other point, (-2, 7), we would have obtained:

This equation is equivalent to