Unit 3 test - Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line parallel to a line with slope 3?

Back

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

Front

What is the slope of a line perpendicular to a line with slope 3?

Back

The slope of a line perpendicular to a line with slope 3 is -1/3, which is the opposite reciprocal.

Front

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

Back

The slope of a line perpendicular to a line with slope -2 is 1/2.

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, meaning they intersect at a right angle.

Front

Find the slope of the line passing through the points (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.