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 two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines are the same in a system of equations?

Back

They have infinitely many solutions because every point on the line is a solution.

Front

How can you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into both equations; if it satisfies both, it is a solution.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the two lines intersect.

Front

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

Back

The lines intersect at exactly one point.

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

How do you graph a linear equation?

Back

Find the y-intercept, plot it, and use the slope to find another point.

Front

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

Back

It is the point where the line crosses the y-axis.

Front

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

Back

The lines are parallel and will never intersect.