Slope Basics

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Tags

CCSS.8.EE.B.5

Front

How is slope represented mathematically?

Back

Slope is represented as a fraction, typically written as m = rise/run.

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, resulting in an upward slant 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, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

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

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

Back

The formula is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 3 units.

Tags

CCSS.HSF.LE.B.5

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every 1 unit increase in x, the y-value decreases by 1 unit.

Tags

CCSS.8.EE.B.5