How to find the length of a line with distance formula

Practice Questions

ACT Math › How to find the length of a line with distance formula

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1

What is the distance between (1,5) and (6,17)?

2

What is the distance of the line

Between and ?

Round to the nearest hundredth.

3

What is the distance between the x and y intercepts of:

Round to the nearest hundredth.

4

What is the slope of the line between points $\dpi{100} \small A$ and $\dpi{100} \small B$ ?

5

What is the area of a square with a diagonal that has endpoints at (4, **–**1) and (2, **–**5)?

6

What is the distance, in coordinate units, between the points $(-2,6)$ and $(5,-2)$ in the standard $(x,y)$ coordinate plane?

7

In an _xy-_plane, what is the length of a line connecting points at (–2,–3) and (5,6)?

8

Line segment has end points of and .

Line segemet has end points of and .

What is the distance between the midpoints?

9

Two towns—Town A and Town B—are represented by points on a map overlaid with a standard x- and y-coordinate plane. Town A and Town B are represented by points and , respectively. If each unit on the map represents an actual distance of 20 miles, which of the following is closest to the actual distance, in miles, between these two towns?

10

What is the distance between $\left ( 1,-2 \right )$ and $\left ( 6,10 \right )$ ?

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