Distance, Midpoint, and Slope

Distance

100

What is the distance between (2,7) and (-6,3)?

8.9

200

What is the distance between (9,2) and (7,1)?

2.2

300

Fred wants to ride his bike to school, but only if the ride to school is less than 5 miles. What is the distance between Fred's house (11,2) and Fred's school(5,7)? Can he ride to school on his bike?

7.8 miles; No, he cannot.

400

What is the length of AB if A is (7,-1) and B is (-4, 18)?

d = 21.9

500

How far apart are (23,4) and (-11, 7)?

d = 34.1

Midpoint

100

What is the point between (5,11) and (1,4)?

(3,7.5)

200

The line segment AB has midpoint (0,1).  If A is (0,0), then what is B?

(-1.5,2)

300

Sue wanted to go to her friend's house. Her friend told Sue to meet with her at the exact point between their houses. She asked you to help her with the math. Her house's coordinates are (13,4) and her friend's house is located at (3,16). What is the midpoint?

(8,10)

400

What is the point between (22, -6) and (8,3)?

(15,-1.5)

500

If (2,5) is an endpoint and (-1,3) is the midpoint, what is the other endpoint?

(-4,1)

Slope

100

What is the slope of (8,9) and (6,2)?

-7/-2

200

What is the slope of (5,4) and (-1,-2)?

-6/-6 = 1

300

A line runs from (0,9) to (4,11). What is the slope?

2/4 (Simplified as 1/2)

400

What is the slope of the line segment AB? A= (3,5) B= (9,2)

-3/6 (Simplified to -1/2)

500

What is the slope of the line segment with the ending points of (0,7) and (5,4)?

-3/5

Formulas

100

What is the slope formula?

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

200

If I ask you to find what location is in the middle of two other locations, what formula would you use?

The midpoint formula

300

What is the midpoint formula?

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

400

What is the slope formula?

(y2-y1)/(x2-x1)

500

If I ask you how far away point A is from point B, then which formula should you use?

Distance Formula

Mix

100

What is the midpoint of (9,5) and (4,7)?

(6.5,6)

200

If the midpoint of (6,2) and (-4,9) is (1,5.5), what is the point between (-4,9) and (1,5.5)?

(-1.5,7.25)

300

What is the distance between the midpoint of Line A (8,3) and Line B (7,10)?

7.1

400

Write the distance formula.

d = Square root of: (x2-x1)^2 + (y2-y1)^2

500

What is the slope of Line Segment AB? A = (19,3) B = (2,7)

4/-17