8.3.a: Identifying Slope

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness or incline of a line, 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).

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down and does not have a defined rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that decreases from left to right?

Back

The slope of a line that decreases from left to right is negative.

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 horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as it runs along the x-axis.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this tell you about its angle?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by the same amount, resulting in a 45-degree angle downward.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope of the line is -4, which indicates a steep decline.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 5/2 indicate about the line?

Back

A slope of 5/2 indicates that for every 2 units moved horizontally to the right, the line rises 5 units.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope, meaning they will never intersect.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If one line has a slope of m, the other will have a slope of -1/m.