Slope, Distance, Midpoint & Endpoint Review

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Tags

CCSS.HSG.GPE.B.7

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Tags

CCSS.8.EE.B.5

Front

Find the distance between the points (1, 2) and (4, 6).

Back

Distance = 5.0

Tags

CCSS.HSG.GPE.B.7

Front

Find the midpoint of the line segment with endpoints (2, 3) and (4, 7).

Back

Midpoint = (3, 5)

Tags

CCSS.HSG.GPE.B.6

Front

What is the slope of the line that passes through the points (2, 3) and (5, 11)?

Back

Slope = 2.67 (or 8/3)

Tags

CCSS.8.EE.B.5

Front

If the distance between points A(1, 1) and B(4, 5) is 5.0, what is the distance formula used?

Back

Distance = √((4 - 1)² + (5 - 1)²) = 5.0

Tags

CCSS.HSG.GPE.B.7

Front

What is the slope of a horizontal line?

Back

Slope = 0

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

Slope is undefined.

Tags

CCSS.8.EE.B.5

Front

Find the distance between the points (-3, -4) and (7, 6).

Back

Distance = 10.0

Tags

CCSS.HSG.GPE.B.7