Question

What is the distance between points (-7, 8) and (2, 8)? ​

Answer 1

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

Answer 2

The distance between points (-7, 8) and (2, 8) is 9 units.

Formula to calculate distance between two points:

The distance d between two points $(x_{1},y_{1}),(x_{2},y_{2})$ is,$d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }$

For given question,

Let $(x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)$

Let d be the distance between two points.

Using distance formula,

$d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}$

$d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }$

$d=\sqrt{(2+7)^{2}+0^{2}$

$d=\sqrt{9^{2}+0 }$

$d=9$  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

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