Solving Linear Systems by Graphing

8th GradeMath45 min

aligned to Nc.ee.8

Learning Objective

I can solve a system of two linear equations by graphing.

Lesson Flow

Watch Video

5 min

Guided Notes

9 min

Key concepts students will learn:

  • When solving a system of equations by graphing, the solution is the x and y values that satisfy both equations, which is found at the point of intersection.

  • If two lines are graphed on the same coordinate plane and do not intersect, there is no solution and the system is called inconsistent.

  • When graphing lines in slope-intercept form (y = mx + b), 'm' represents the slope and 'b' represents the y-intercept.

Practice

14 min

10 questions • Multiple choice & Short answer

Exit Ticket

5 min

Solve the following system of equations by graphing. Clearly plot each line on the coordinate plane and indicate the point of intersection. Number the coordinate plane axes from -5 to 5. y = x + 3, y = -x + 1

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts