Question

The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.) Image of a coordinate grid with point P located at negative 10, 15 and point T located at 15, 15.

Answer 1

That would be 25 units. You can draw it out and you would get 25 units, or you could see the difference in -10 and 15, their distance would be 25 units.

That made no sense.

Answer 2

The distance between P and T on the coordinate grid is 25 units.

Explanation:

Coordinate of P = (-10,15)

Coordinate of T = (15,15)

By distance formula we have distance between ( a,b) and (c,d) is

`√((c-a)^2)+(d-b)^2)`

Here (a,b) = Coordinate of P = (-10,15) and (c,d) = Coordinate of T = (15,15)

Substituting

`\texttt{Distance =}√((c-a)^2)+(d-b)^2)=√((15-(-10)^2)+(15-15)^2)=√(25^2)=25units`

The distance between P and T on the coordinate grid is 25 units.