Slope (Multiple Representations)

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness of the line, calculated as the change in y (vertical change) divided by the change in x (horizontal change).

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 for slope (m) is: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation y = 2x + 4, what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

Given the equation y = -3x + 1, what is the y-intercept?

Back

The y-intercept is (0, 1).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula slope = rise/run.

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

If a line rises from left to right, what can be said about its slope?

Back

If a line rises from left to right, its slope is positive.

Tags

CCSS.8.EE.B.5

Front

If a line falls from left to right, what can be said about its slope?

Back

If a line falls from left to right, its slope is negative.

Tags

CCSS.8.EE.B.5