Power of a Power Property of Exponents
Adding and Subtracting Rational Numbers
Solving Equations with Radicals and Exponents
Quadratic Equations
Using Intercepts for Graphing Linear Equations
Graphing Linear Equations in Two
Multiplying Fractions
Solving Linear Equations Containing Fractions
Evaluating Polynomials
Multiplication Property of Square and Cube  Roots
Writing a Fraction in Simplest Form
Square Roots
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
Finding the Equation of an Inverse Function
Slope of a Line
Rules for Nonnegative Integral Exponents

Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

Using Intercepts for Graphing Linear Equations

The x-intercept of a line is the point where the line crosses the x-axis. The x-intercept has a y-coordinate of 0. Similarly, the y-intercept of a line is the point where the line crosses the y-axis. The y-intercept has an x-coordinate of 0. If a line has distinct x- and y-intercepts, then these intercepts can be used as two points that determine the location of the line. (Horizontal lines, vertical lines, and lines through the origin do not have two distinct intercepts.)


Example 1

Using intercepts to graph

Use the intercepts to graph the line 3x - 4y =  6.


Let x = 0 in 3x - 4y = 6 to find the y-intercept:

3(0) - 4y = 6
-4y = 6

Let y = 0 in 3x - 4y = 6 to find the x-intercept:

3x - 4(0) = 6
3x = 6
x = 2

The y-intercept is, and the x-intercept is (2, 0). The line through the intercepts is shown in the figure below. To check, find another point that satisfies the equation. The point (-2, -3) satisfies the equation and is on the line in the figure below. 


Even though two points determine the location of a line, finding at least three points will help you to avoid errors.