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

Answer:

Riko is wrong

Step-by-step 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: $\sqrt{(2 - (-2))^{2} + (-5 - (-3))^{2} }$ = $\sqrt{4^{2} + 8^{2} }$ = $\sqrt{80} = 4\sqrt{5}$

Hope it will find you well.

Answer 2

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.