Distance and Slope

Front

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

Back

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-coordinate increases, the y-coordinate also increases, meaning the line rises 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-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (numerator) as x changes.

Tags

CCSS.8.EE.B.5

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (3, 4) and (3, 8)?

Back

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (5, -1) and (5, 12)?

Back

Tags

CCSS.HSG.GPE.B.7

Front

If the slope of a line is 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Tags

CCSS.8.EE.B.5