Sytems of equations

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is the slope of a line parallel to y = 3x + 4?

Back

The slope is 3.

Front

How many solutions do intersecting lines have?

Back

Intersecting lines have one solution.

Front

What is the solution to the system of equations: 2x + 3y = 1 and x - y = 5?

Back

The solution is (4, -1).

Front

What is the solution to the system of equations: x + y = 0 and x - y = -4?

Back

The solution is (-2, 2).

Front

What does it mean if two lines are skew?

Back

Skew lines do not intersect and are not parallel.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The graph consists of the same line represented multiple times.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If two lines have the same slope but different y-intercepts, what can be said about their relationship?

Back

They are parallel lines and do not intersect.

Front

What is the solution to the system of equations: 3x + 2y = 6 and 3x + 2y = 12?

Back

There is no solution; the lines are parallel.