Graphing Systems of Equations

intersecting lines

parallel lines

skew lines

intersecting lines

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

(2,-2)

(-2,2)

All Real Numbers

No Solution

Graphing

Substitution

Elimination

All of the above

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

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

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

The line are parallel, so the system has no solution

The slope(m) of the lines are equal

The slopes are equal, so the system has 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.

(4, -1)

(-1, 4)

(-4, 1)

(-4, -1)