Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Graph a line using intercepts
Problem
Graph \(2x~+~3y~=~12\) on the grid using its intercepts. Check both intercepts, then state the slope and line behavior.
Use the x-intercept and y-intercept to draw the line.Open full size
Big Picture
What this problem is really about
Intercepts turn a two-variable equation into two easy one-variable checks. We’ll set the other coordinate to zero for each axis crossing, keep the resulting coordinates in the correct order, and plot both points. The line through them is unique, and its rise-over-run supplies a sign check on whether the graph should increase or decrease.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
