Solving Systems of Equations by Graphing

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph will show parallel lines.

Front

How do you determine the solution of a system of equations by graphing?

Back

The solution is the point where the two lines intersect.

Front

What is the solution of the system of equations represented by the points (0, 3) and (2, 2)?

Back

(0, 3) is the solution for the first equation, and (2, 2) is the solution for the second equation.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the two equations represent the same line.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

How can you tell if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and connect them with a straight line.