Question

The distance between the points (-3,0) and (4,0) is

Answer 1

`√(7)`

Explanation:

`√((4 - ( - 3) + (0 - 0))`

`√((4 + 3) + 0)`

`√(7 + 0)`

`√(7)`

Answer 2

7

Explanation:

Two points P1 (x1,y1) and P2(x2,y2)

d=SQRT((x2-x1)^2+(y2-y1)^2))

choose your points

let (-3,0) be (x1,y1)

let (4,0) be (x2,y2)

Substitute the values into the equation

SQRT((4-(-3))^2+(0-0)^2))

Simplify

SQRT(7^2+0)

Square root of 7 squared is 7 or -7, however distance cannot be negative so the answer is 7

This applies to all two points however there is a faster solution for these two points as they have the same y value meaning you could've just drawn a line between these two points on a Cartesian plane and counted 7.