Question

Rico wants to find the distance between the points (-2,-3) and (2,-5) his work is shown.|-3| + |-5| = 3+5 = 8the distance is 8 unitsis Riko correct explain why or why not?​

Answer 1

Sample Response: No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Answer 2

Riko is wrong

Explanation:

To find the distance of two point, we use the following formula:

A (x1, y1)

B (x1, y2)

AB =
`\sqrt{(x2-x1)^(2) + (y2-y1)^(2) }`

In this situation, we have:

A (-2,-3)

B (2,-5)

So the distance is:
`\sqrt{(2 - (-2))^(2) + (-5 - (-3))^(2) }` =
`\sqrt{4^(2) + 8^(2) }` =
`√(80) = 4√(5)`

Hope it will find you well.