How do you find the distance between points (-5,2), (4,-2)?

1 Answer
Shantelle
May 28, 2018

The distance is sqrt97 or ~~9.85

Explanation:

The distance between two points is shown by the formula:
d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

We have the values for the two coordinates, so we can substitute them into the distance formula:
d = sqrt((-2-2)^2 + (4-(-5))^2)

And now we simplify:
d = sqrt((-4)^2 + (9)^2)

d = sqrt(16 + 81)

d = sqrt(97)

If you want the exact distance, you can leave it as sqrt97, but if you want it in decimal form, it is ~~9.85 (rounded to nearest hundredth's place).

Hope this helps!

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