Solving Systems of equations by graphing

Because it shows where the equations have the same solution

Because it makes the graph look complete

Because it helps to draw straight lines

Because it is always at the origin

Rewrite equations in slope-intercept form, graph each line, identify the intersection point, check the solution

Graph each line, rewrite equations in slope-intercept form, check the solution, identify the intersection point

Identify the intersection point, graph each line, check the solution, rewrite equations in slope-intercept form

Check the solution, identify the intersection point, graph each line, rewrite equations in slope-intercept form

The lines intersect at one point

The lines are parallel

The lines overlap completely

There is no solution

y = 2x + 1 and y = 2x - 3

y = x + 2 and y = -x + 4

y = x + 2 and y = x + 2

y = 2x + 1 and y = -x + 4

x = 100

x = 200

x = 300

x = 400

A system can have one solution.

A system can have no solution.

A system can have infinitely many solutions.

A system always has exactly two solutions.