Learn how to find the x-intercept and y-intercept of a linear equation and use them to draw an accurate, straight-line graph.
The point where the line crosses the x-axis . At this point, y = 0 . Coordinates: (a, 0)
Mark the x-intercept on the horizontal axis and the y-intercept on the vertical axis. Draw a straight line through both points, adding arrows at the ends to show the line continues forever. Homework Example Walkthrough Let’s solve a common problem type: 1. Find the x-intercept ( ): 2x+4(0)=82 x plus 4 open paren 0 close paren equals 8 2x=82 x equals 8 x=4x equals 4 The x-intercept is (4, 0) . 2. Find the y-intercept ( ): 2(0)+4y=82 open paren 0 close paren plus 4 y equals 8 4y=84 y equals 8 y=2y equals 2 The y-intercept is (0, 2) . lesson 5 homework practice graph a line using intercepts
In this guide, we’ll break down the concepts found in your to help you breeze through your assignments. What are Intercepts? Before we pick up the pencil, let’s define our terms:
It’s much faster than calculating five different coordinates for a table. Standard Form Friendly: Equations like Learn how to find the x-intercept and y-intercept
Find the x-intercept and y-intercept of the line given by the equation: 2x + 3y = 6
Given a linear equation in standard form: Ax + By = C Coordinates: (a, 0) Mark the x-intercept on the
If an equation only has one variable (like ), it only has one intercept. is a vertical line; is a horizontal line. Final Thoughts