Home/Integrated Math 1/Lesson 78

Solve a system of equations by graphing

Find system solutions as intersection points of two lines.

Do this: Read the concept below, then try the quiz or activity.

Lesson 78 of 192
40%

Concept

Objective: Students will solve linear systems using graphical intersection.

Estimated Time: 12 minutes

Standards:
HSA-REI.C.6HSF-IF.C.7

Graph both equations on the same coordinate plane. Their intersection point is the solution.

Try it

Solve y = x + 2 and y = -x + 4 by graphing.

๐Ÿ“ˆ Coordinate Grapher

Graph both equations and read their intersection.

y = y = 1x
-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910

Concept Check

The solution of a graphed system is:

Concept Check

Parallel lines in a system mean:

Common Misconception
Always verify your result in context instead of trusting a first pass.

Solve by graphing

These steps are out of order โ€” can you fix them?

1.Check in both equations
2.Graph both equations
3.Locate intersection
4.Write ordered pair

Short Answer

Why should you verify intersection coordinates algebraically?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

The solution of a graphed system is:

Question 2

Parallel lines in a system mean:

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