8.EE.B.5 Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).

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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 does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

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CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

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CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

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CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero (change in x is 0).

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CCSS.8.EE.B.5

Front

Given the points (1, 2) and (4, 5), find the slope.

Back

m = (5 - 2) / (4 - 1) = 3 / 3 = 1.

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CCSS.8.EE.B.5

Front

Given the points (2, 3) and (2, 7), what is the slope?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

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CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope (m) is -2.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3/2, what does this mean in terms of rise and run?

Back

For every 2 units the line moves horizontally (run), it moves up 3 units (rise).

Tags

CCSS.8.EE.B.5