Parallel & Perpendicular Slope ET

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

How do you find the slope between two points?

Back

To find the slope (m) between two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is perpendicular to another line with slope 2?

Back

The slope of a line that is perpendicular to another line with slope 2 is -1/2 (the negative reciprocal of 2).

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

If a line has a slope of -3/5, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with slope -3/5 is also -3/5.

Front

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

Back

The slope of a line perpendicular to a line with slope 1/2 is -2 (the negative reciprocal of 1/2).

Front

Determine if the lines y = 3x + 1 and y = 3x - 4 are parallel, perpendicular, or neither.

Back

The lines are parallel because they have the same slope of 3.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the equation of a line with slope 4 that passes through the point (0, -1)?

Back

The equation is y = 4x - 1.