Question

What is the distance between the points located at (7, −15) and (7, 22)?

−37 units
−7 units
7 units
37 units

Answer 1

37 units

Explanation:

We can use the below formula to find the distance between two coordinates.

`\sf Distance=√([x_2-x_1]^2+[y_2-y_1]^2)`

Given that,

( 7, - 15 ) ⇒ ( x₁ , y₁ )

( 7, 22 ) ⇒ ( x₂ , y₂ )

Let us find it now.

`\sf Distance=√([x_2-x_1]^2+[y_2-y_1]^2)\\\\\sf Distance=√([7-7]^2+[22-(-15)]^2)\\\\\sf Distance=√([0]^2+[22+15]^2)\\\\\sf Distance=√([0]+[37]^2)\\\\\sf Distance=√([37]^2)\\\\\sf Distance=37\:units`

Answer 2

• D. 37 units

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Since the x-coordinates are same, the distance between the given points is the difference of the y-coordinates:

• d = 22 - (-15) = 22 + 15 = 37 units

Correct choice is D.