Graphing Systems of Linear Equations

Front

A system of linear equations is...

Back

A set of 2 or more equations.

Front

What is the solution of a system of equations?

Back

The ordered pair that satisfies all equations in the system.

Front

When you graph the exact same equation twice, what do you get?

Back

You will have infinite solutions.

Front

If you want to find the slope and y-intercept of any equation, you should convert to what form?

Back

Slope intercept form.

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 do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.