Slopes of Parallel and Perpendicular Lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line, and is calculated as the change in y divided by the change in x (rise over run).

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 it mean for two lines to be perpendicular?

Back

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

Front

How do you find the slope from the equation of a line in slope-intercept form?

Back

In the slope-intercept form, y = mx + b, 'm' represents the slope.

Front

If Line 1 has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to Line 1 would be -1/2, since the product of the slopes must equal -1.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

Determine if the lines are parallel, perpendicular, or neither: Line 1: y = 2x + 1, Line 2: y = 2x - 3.

Back

Parallel.

Front

Determine if the lines are parallel, perpendicular, or neither: Line 1: y = -x + 2, Line 2: y = x + 1.

Back

Perpendicular.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

If two lines have slopes of 1/2 and -2, are they parallel, perpendicular, or neither?

Back

Perpendicular.