GRAPHING GUIDE
Start with the graph
An intersection is a point where both equations have the same x and y values. Plot both functions in the same viewing window.
Worked example
Graph y = 2x + 1 and y = −x + 7. The lines meet near (2, 5). Set 2x + 1 = −x + 7 to get x = 2, then substitute to find y = 5.
Try another example
Graph y = x² and y = 4. The graphs meet at (−2, 4) and (2, 4). Solving x² = 4 confirms both points.
Check your result
If no intersection appears, widen the viewing window. Parallel lines never meet, while identical lines share every point.
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