Slopey Slope

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 slope-intercept form of a linear equation (y = mx + b).

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 does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are the same.

Tags

CCSS.8.EE.B.5

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other (m1 * m2 = -1).

Tags

CCSS.8.EE.B.6

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it cannot be expressed as a ratio of rise over run.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is undefined because the x-values are the same.

Tags

CCSS.8.EE.B.5