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Solving Equations with Radicals and Exponents
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Multiplying Fractions
Solving Linear Equations Containing Fractions
Evaluating Polynomials
Multiplication Property of Square and Cube Roots
Writing a Fraction in Simplest Form
Square Roots
Inequalities
The Pythagorean Theorem
Factoring The Difference of 2 Squares
Solving Polynomial Equations
Roots and Powers
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 1

Find the equation of the line that passes through the point (-4, 7) with slope .

Solution

Use the point-slope formula.	y - y₁	= m(x - x₁)
We are given the point (-4, 7), so let x₁ = -4 and y₁ = 7.	y - 7	= m(x - (-4))
The slope is .	y - 7
Simplify the right side.	y - 7
So, the equation of the line is

Example 2

Find the equation of the line that passes through the points (3, -3) and (6, -1).

Solution

First, find the slope of the line.
Let (x₁, y₁) = (3, -3) and (x₂, y₂) = (6, -1).
Next, use the point-slope formula.	y - y₁	= m(x - x₁)
We can use either given point. Letâ€™s use (6, -1).	y - (-1)
Simplify the left side.	y + 1
So, the equation of the line is

Note:

If we had used the other point, (3, -3), we would have obtained:

y - y₁	= m(x - x₁)
y - (-3)
y + 3

This equation is equivalent to since both simplify to .