Question

Distance between (-1,2) (7,8)

Answer 1

Answer: 10

Step-by-step explanation: In this problem, we're asked to find the distance between the points (-1,2) and (7,8) so we use the distance formula which states that the distance between two points is equal to

`d =\sqrt{(x^(2) - x^(1))^(2) + (y^(2) - y^(1))^(2) }`.

Our first point, (-1,2) represents (
`^(x) 1`,
`^(y)1`) and our second point,

(7,8) represents (
`^(x)2`,
`^(y)2`).

So, plugging the given information into the formula, we have
`\sqrt{7 - (-1))^(2) + (8 - 2)^(2)}`.

Next, we simplify inside the parentheses to get
`\sqrt{(8)^(2) + (6)^(2)}`.

Next, 8² is 64 and 6² is 36 so we have
`√(64 + 36)` or
`√(100)` which is 10.

So the distance between the points (-1,2) and (7,8) is 10.

Answer 2

The distance between any two points is

square root of ( [difference in the 'y's]² + [difference in the 'x's]² )

Difference in the 'y's = 8 - 2 = 6
Difference in the 'x's = 7 - (-1) = 8

Distance between them =

square root of ( 6² + 8² ) =

square root of ( 36 + 64 ) =

square root of ( 100 ) = 10 .