Finding the Intersection Point by Graphing Two Lines

Question:
Graph the system of equations and find the solution. Identify the point of intersection and verify by substituting into both equations. The first equation is y equals 2x minus 3. The second equation is y equals negative x plus 6.

Finding the Intersection Point by Graphing Two Lines

This lesson teaches students how to solve a system of two linear equations by graphing both lines on the same coordinate plane and identifying their point of intersection. Students also learn to confirm the graphical solution algebraically and verify it by substitution into both original equations.

In this lesson, you will learn to:
• Identify the slope and y-intercept of a linear equation written in slope-intercept form
• Graph two linear equations on the same coordinate plane and identify their intersection point
• Solve a system of linear equations algebraically by setting the expressions equal