Question

Plz help me due in 5 mins!

Find the distance between the points (1, 4) and (-5, -4) on the coordinate plane. Show your work to justify your answer.

Answer 1

The distance between the two points is 10 units.

You can calculate the distance with the following formula:

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(-5-1)²+(-4-4)²

d=√(-6)²+(-8)²

d=√36+64

d=√100

d=10

Answer 2

We can calculate the distance between two points by using the distance formula.

Distance formula:
`√((x2-x1)^2 + (y2-y1)^2)`

Our two points we are given in this problem are: (1, 4) and (-5, -4), so plug in the appropriate points into the formula.

x2 = -5, x1 = 1; y2 = -4, y1 = 4

`√((-5-1)^2 + (-4-4)^2)`

`√((-6)^2 + (-8)^2)` =
`√((36) + (64) = 100)`

`√(100) = 10`

The distance between the two points, (1, 4) and (-5, -4) is 10 units.