Solving Systems by Graphing

Front

If a system of equations has no solution, what does the graph look like?

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations represented by the point (1, 3)?

Back

The solution is (1, 3).

Front

This system has _____ solutions: 0, 1, 2, Infinitely many?

Back

The system has 1 solution.

Front

What is the solution to the system of equations represented by the point (-2, -8)?

Back

The solution is (-2, -8).

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

The solution is (1, 3).

Front

What do parallel lines indicate in a system of equations?

Back

Parallel lines indicate that there is no solution to the system.

Front

What does it mean if two lines intersect at a single point?

Back

It means the system has exactly one solution.

Front

How can you determine the solution of a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as rise over run.