Slope of Lines Flashcard

Front

What is the definition of slope in mathematics?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

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 line that rises from left to right?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is negative.

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

Find the slope of the line passing through the points (1, 2) and (3, 4).

Back

m = (4 - 2) / (3 - 1) = 2 / 2 = 1.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line passing through the points (2, 3) and (2, 5).

Back

The slope is undefined because the x-coordinates are the same.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5