Solving Systems by Graphing

Front

What is a system of equations?

Back

A set of two (or more) equations that share variables.

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 type of lines result in infinitely many solutions when graphing a system of equations?

Back

Coinciding lines (lines that lie on top of one another).

Front

How do you solve a system of equations by graphing?

Back

Graph each equation on the same coordinate plane and identify the point(s) of intersection.

Front

What is the solution to the system of equations: -4x + 3y = -12 and -2x + 3y = -18?

Back

(-2, 5)

Front

What does it mean if two lines intersect at a single point when graphing a system of equations?

Back

The system has a unique solution.

Front

What is the graphical representation of the equation y = 2x + 3?

Back

A straight line with a slope of 2 and a y-intercept of 3.

Front

What is the slope of the line represented by the equation 3y = 6x + 9?

Back

The slope is 2.

Front

If a system of equations has exactly one solution, what can be said about the lines?

Back

The lines intersect at one point.

Front

What is the y-intercept of the equation y = -x + 4?

Back

The y-intercept is 4.