Slope and Similar Triangles

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually 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 calculated?

Back

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line 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

Back

This implies that the slope can be expressed as the ratio of the lengths of two segments, AB and BC.

Tags

CCSS.8.EE.B.6

Front

What type of slope does the line with coordinates (1, 2) and (3, 6) have?

Back

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between similar triangles and slope?

Back

Similar triangles have the same shape but may differ in size; their corresponding sides are proportional, which means their slopes are equal.

Tags

CCSS.8.EE.B.6