Graphing Systems of Equations One Solution

(1,3)

(-1,-3)

(-1,3)

(3,1)

(2, 3)

(-2, -3)

(3, 2)

(-3, 2)

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

you will have no solution. 

you will have one solution.

you will have infinite solutions. 

you will graph a giraffe. 

One

Two

No Solution

Infinitely Many Solutions

Her solutions are correct.

She marked the y-intercepts instead of the x-intercepts.

She marked the y-intercepts instead of the intersection point of the two lines.

She marked only the y-intercepts instead of the x- and y-intercepts.

The lines are perpendicular which means they will not ever cross.

The slope(m) of the lines are equal

The lines will not intersect, so the system has no solution

The line are parallel, so the system has no solution

The lines will eventually touch, so the system has one solution

The slopes are equal, so the system has infinitely many solutions

1 solution

2 Solutions

No Solution

Infinite Solutions

(4, 7)

(3, 5)

(6, 7)

(5, 3)