System of equations review

Front

A system has ____________ when two lines intersect at one point.

Back

One solution

Front

A system of equations with no solution will have lines that...

Back

are parallel and never touch

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution

Front

Which equation represents the number of shirts when both companies charge the same amount? (Company 1: $9.65 per shirt + $43 setup fee; Company 2: $8.40 per shirt + $58 fee)

Back

y = 9.65x + 43 and y = 8.40x + 58

Front

What is the solution to the system? (Options: (0, 3), (1, -1), (-3, 1), (1, 3))

Back

(1, 3)

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line.

Front

What is the graphical representation of a system with one solution?

Back

Two lines intersecting at a single point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

What is the slope of a line in the equation y = mx + b?

Back

m represents the slope of the line.

Front

How do you determine if two lines are parallel?

Back

They have the same slope but different y-intercepts.