Back to Explain intersection as solution — Problem 1 · Task Set 52

Exercises: Graph Intersections as Solutions

For graphical problems, identify the x-coordinate of each intersection as the solution. Always verify by substituting back into both sides of the original equation. Use graphing technology (Desmos or graphing calculator) where indicated.

Grade 9·18 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-d-11

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Fluency Practice

The graphs of $y = x^2$ and $y = x + 2$ intersect at the points $(-1, 1)$ and $(2, 4)$ .

(a) State the solutions to $x^2 = x + 2$ .
(b) Explain in one sentence why the x-coordinates — not the y-coordinates — are the solutions.