Graphing Using Intercepts
Graph linear equations by plotting x-intercept and y-intercept, then connecting them. Use this efficient Grade 9 graphing method for standard form equations.
Key Concepts
Property An efficient method for graphing a linear equation in two variables is to plot the $x$ and $y$ intercepts and then to draw a line through them.
Examples To graph $2x 7y = 14$, first find the intercepts. The $x$ intercept is $(7, 0)$ and the $y$ intercept is $(0, 2)$. Plot the points $(7, 0)$ and $(0, 2)$ and draw a straight line through them.
Explanation Why do more work than you need to? Finding the two intercepts gives you the two points required to define a straight line. Just plot those two special points on the axes and connect them with a ruler. It's the fastest way to accurately graph a linear equation!
Common Questions
What key features help you graph graphing using intercepts?
Identify intercepts, slope or vertex, and key points. Plot them systematically and connect to show the complete shape of the graph.
How do you find x-intercepts when graphing?
Set y = 0 and solve for x. These crossing points are critical for understanding the function's behavior and finding solutions.
What does the graph reveal about this topic?
Graphs show solutions visually as intercepts or intersection points, reveal the number of solutions, and display trends equations alone do not show.