Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/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, meaning their slopes are opposite reciprocals.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope (m) is 2.

Front

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

Back

The slope of the perpendicular line is -1/3.

Front

Which equation is parallel to y = 5/7x + 2?

Back

y = 5/7x + 5 (same slope of 5/7).

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope (m) is -4.

Front

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

Back

They are perpendicular because the product of their slopes is -1 (2 * -1/2 = -1).

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.