Linear Equations and Systems

Front

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

Back

The two lines are intersecting lines.

Front

What is the ordered pair that satisfies all equations in a system called?

Back

Solution of a system.

Front

Solve the system of linear equations using elimination: 2x + 3y = 12 and x - y = 3.

Back

(3, 2)

Front

If two lines are parallel, how many solutions do they have?

Back

None.

Front

Solve the system of equations by elimination: -x + y = -13 and -8x - 4y = -8.

Back

(5, -8)

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis.

Front

How can you determine if two lines are parallel?

Back

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