Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(-4,2) and (2,-6)

Answer 1

10

Explanation:

Distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let
`(x_1,y_1)` = (-4, 2)

Let
`(x_2,y_2)` = (2, -6)

Substituting given points into the formula:

`\implies d=√((2-(-4))^2+(-6-2)^2)`

`\implies d=√((6)^2+(-8)^2)`

`\implies d=√(36+64)`

`\implies d=√(100)`

`\implies d=10`