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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5