Question

Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is

. (Input numbers and decimal point only, such as 8.2.) (3 points)

Answer 1

Answer: 1.3

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Work Shown:

The two points we have are
`(x_1,y_1) = (2,1.2)` and
`(x_2,y_2) = (2,2.5)`

Apply the distance formula

`d = √((x_1-x_2)^2+(y_1-y_2)^2)\\\\d = √((2-2)^2+(1.2-2.5)^2)\\\\d = √((0)^2+(-1.3)^2)\\\\d = √(0+1.69)\\\\d = √(1.69)\\\\d = 1.3\\\\`

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A shortcut is possible by subtracting the y coordinates of the two points, and making the result positive through the use of absolute value.

So we either say

|y1-y2| = |1.2-2.5| = |-1.3| = 1.3

or,

|y2 - y1| = |2.5 - 1.2| = |1.3| = 1.3

We get the same result. This shortcut is valid because the x coordinates of both points are the same.