Parallel and Perpendicular Slopes

Front

What is the slope of a line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope.

Front

If the slope of one line is m1 and the slope of another line is m2, what is the condition for them to be perpendicular?

Back

m1 * m2 = -1.

Front

If the slope of one line is 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line would be -1/3.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

How can you determine if two lines are parallel by looking at their equations?

Back

If the coefficients of x in both equations are the same, the lines are parallel.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Given the slopes m1 = 4 and m2 = -1/4, are the lines represented by these slopes parallel, perpendicular, or neither?

Back

The lines are perpendicular.