Solve Systems of Equations by Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations are the same line, overlapping completely.

Front

What is slope-intercept form?

Back

A way to express a linear equation as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line from an equation?

Back

The slope is the coefficient of x in the slope-intercept form of the equation.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented by b in the slope-intercept form.

Front

How do you graph a linear equation?

Back

Plot the y-intercept on the y-axis, then use the slope to find another point.

Front

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

Back

(1, 3)

Front

How can you tell if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.