Systems of Linear Functions

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

What do parallel lines have in common regarding their slopes?

Back

They have the same slope.

Front

How many solutions do parallel lines have?

Back

None.

Front

What is the solution to the system if the equations do not intersect?

Back

No solution.

Front

What is the solution to the system if the equations intersect at (1, 3)?

Back

(1, 3).

Front

What does it mean if two lines are coincident?

Back

They have infinitely many solutions.

Front

What is the y-intercept of a linear function?

Back

The point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x.

Front

If a system of equations has one solution, what does that indicate about the lines?

Back

The lines intersect at one point.

Front

What is the graphical representation of a system of equations?

Back

A set of lines on a coordinate plane.