What does the point of intersection of two lines in a system of equations represent?

The point of intersection represents the solution to the system of equations, where the values of the variables satisfy both equations.

If two lines are graphed on the coordinate plane and they do not intersect, what does this indicate about the system of equations?

It indicates that the system of equations has no solution.

The 'a-axis' represents Abby's earnings, and the 'b-axis' represents Ben's earnings.

Grade 9th Grade · Math · 50 min· Big Ideas Math

I can solve a system of two linear equations by graphing them on the coordinate plane and identifying the point of intersection.

Khan Academy · 5:54

Solving systems by graphing

3 key concepts

1
If Abby's earnings are represented by a, and Ben's earnings are represented by b, then a + b = $50.
2
The point where the two lines intersect represents the earnings of Abby and Ben that satisfy both constraints.
3
The solution to the system of equations can be found by identifying the point of intersection on the graph, where one axis represents Abby's earnings and the other represents Ben's earnings.

12 questions · Multiple choice & Short answer

Quick comprehension check

“Solve the following system of equations by graphing each line and identifying the point of intersection: y = x + 2; y = -x + 6”

Get all 3 ready-to-use resources:

Teacher GuideComplete lesson plan

Student DocPrintable student handouts

SlidesReady-to-use presentation