Graphing Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

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

Back

The lines coincide, meaning they are the same line.

Front

How do you graph a linear equation?

Back

Identify the y-intercept and slope, then plot the line.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the equation y = -x + 5?

Back

The y-intercept is 5.

Front

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

Back

By finding the point where the lines intersect.

Front

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

Back

The solution is (1, 3).

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.