Slope Comparison Practice

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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

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 a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no vertical change (rise) as the x-value changes.

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) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean for a line to have a steeper slope?

Back

A steeper slope means a greater absolute value of the slope, indicating a more rapid change in y for a given change in x.

Tags

CCSS.8.EE.B.5

Front

If two lines have the same slope, what can be said about their orientation?

Back

If two lines have the same slope, they are parallel to each other and will never intersect.

Tags

CCSS.8.EE.B.6

Front

What is the relationship between slope and the angle of inclination of a line?

Back

The slope of a line is equal to the tangent of the angle of inclination (θ) that the line makes with the positive x-axis, expressed as m = tan(θ).

Tags

CCSS.8.EE.B.6

Front

How can you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Tags

CCSS.8.EE.B.5