Intro to Slope

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

How is slope represented in mathematical equations?

Back

Slope is commonly represented by the letter 'm' in the equation of a line, which is often written in the form y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

A slope of 2/5 indicates that for every 5 units of horizontal change, the line rises 2 units vertically.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of all horizontal lines 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

Front

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

Back

If two lines have the same slope, they are parallel and have the same steepness.

Tags

CCSS.8.EE.B.5

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to calculate the slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line.

Tags

CCSS.8.EE.B.5