Midpoint & Distance

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

How do you 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

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move horizontally, you move 1 unit vertically.

Tags

CCSS.8.EE.B.5

Front

How do you find the coordinates of a point that is 6 units up and 8 units left from the origin (0,0)?

Back

The coordinates would be (-8, 6).

Tags

CCSS.5.G.A.2

Front

What is the distance Becky walked if she walked 6 blocks North and 8 blocks West?

Back

10 blocks (using the Pythagorean theorem: √(6² + 8²) = 10).

Tags

CCSS.8.G.B.8

Front

What is the midpoint of the points (14, 0) and (-7, 5)?

Back

(3.5, 2.5)

Tags

CCSS.HSG.GPE.B.6