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Exponential Decay
Negative Exponents
Multiplying and Dividing Fractions 4
Evaluating Expressions Involving Fractions
The Cartesian Coordinate System
Adding and Subtracting Fractions with Like Denominators
Solving Absolute Value Inequalities
Multiplying Special Polynomials
FOIL Method
Solving Systems of Equations by Graphing
Graphing Compound Inequalities
Solving Quadratic Equations by Completing the Square
Addition Property of Equality
Square Roots
Adding and Subtracting Fractions
The Distance Formula
Graphing Logarithmic Functions
Dividing Mixed Numbers
Evaluating Polynomials
Power of a Product Property of Exponents
Terminology of Algebraic Expressions
Adding and Subtracting Rational Expressions with Identical Denominators
Solving Exponential Equations
Factoring The Difference of 2 Squares
Changing Fractions to Decimals
Solving Linear Equations
Using Patterns to Multiply Two Binomials
Completing the Square
Roots of Complex Numbers
Methods for Solving Quadratic Equations
Conics in Standard Form
Solving Quadratic Equations by Using the Quadratic Formula
Simplifying Fractions 2
Exponential Notation
Exponential Growth
The Cartesian Plane
Graphing Linear Functions
The Slope of a Line
Finding Cube Roots of Large Numbers
Rotating Axes
Common Mistakes With Percents
Solving an Equation That Contains a Square Root
Rational Equations
Properties of Common Logs
Composition of Functions
Using Percent Equations
Solving Inequalities
Properties of Exponents
Graphing Quadratic Functions
Factoring a Polynomial by Finding the GCF
The Rectangular Coordinate System
Adding and Subtracting Fractions
Multiplying and Dividing Rational Expressions
Improper Fractions and Mixed Numbers
Properties of Exponents
Complex Solutions of Quadratic Equations
Solving Nonlinear Equations by Factoring
Solving Quadratic Equations by Factoring
Least Common Multiples
Solving Exponential Equations
Solving Linear Equations
Multiplication Property of Equality
Multiplying Mixed Numbers
Multiplying Fractions
Reducing a Rational Expression to Lowest Terms
Literal Numbers
Factoring Trinomials
Logarithmic Functions
Adding Fractions with Unlike Denominators
Simplifying Square Roots
Adding Fractions
Equations Quadratic in Form
Dividing Rational Expressions
Slopes of Parallel Lines
Simplifying Cube Roots That Contain Variables
Functions and Graphs
Complex Numbers
Multiplying and Dividing Fractions 1
Composition of Functions
Intercepts of a Line
Multiplying Two Numbers with the same Tens Digit and whose Ones Digits add up to 10
Factoring Trinomials
Exponents and Polynomials
Decimals and their Equivalent Fractions
Negative Integer Exponents
Adding and Subtracting Mixed Numbers
Solving Quadratic Equations
Theorem of Pythagoras
Equations 1
Subtracting Fractions
Solving Quadratic Equations by Graphing
Evaluating Polynomials
Angles and Degree Measure
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Intercepts of a Line


Given the equation 4x - 3y = 12:

a. Find the x-intercept.

b. Find the y-intercept.

c. Use the intercepts to graph the line.




The x-intercept has the form (a, 0).

To find the x-intercept, substitute 0 for y.

Then solve for x.


Divide both sides by 4.

The x-intercept is (3, 0).



4x - 3y

4x - 3(0)





= 12

= 12

= 12

 = 3

b. The y-intercept has the form (0, b).

To find the y-intercept, substitute 0 for x.

Then solve for y.

Simplify. Divide both sides by -3.

The y-intercept is (0, -4).


4x - 3y

 4(0) - 3y




= 12

= 12

= 12

= -4


c. To graph the line 4x - 3y = 12, plot the x-intercept and the y-intercept.

Then, draw a line through the intercepts.

As a check, it is a good idea to find a third point on the line.

For example, choose 6 for x in the equation 4x - 3y = 12.

Solve for y. The result y = 4.

Since (6, 4) is a solution of the equation 4x - 3y = 12, the line should pass through the point (6, 4).

x y  
3 0 x-intercept
0 -4 y-intercept
6 4 check point


Some lines do not have both an x-intercept and a y-intercept.

• A horizontal line, other than the x-axis, has a y-intercept, but no x-intercept.

For example, the horizontal line y = 6 has y-intercept (0, 6), but no x-intercept.

• A vertical line, other than the y-axis, has an x-intercept, but no y-intercept.

For example, the vertical line x = 2 has x-intercept (2, 0), but no y-intercept.

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