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What is the distance between the points ( -4, 6) and (-4, -2)

User ZakiMak
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2 Answers

5 votes
Find the gradient then choose one of the pairs of the points then substitute y to find x
User Maksym Gontar
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8.3k points
4 votes

Answer:

8

Explanation:

The distance between two points
\((x_1, y_1)\) and
\((x_2, y_2)\) in a coordinate system can be found using the distance formula:


\[ d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}} \]

In this case, the points are
\((-4, 6)\) and
\((-4, -2)\). Let's plug these values into the formula:


\[ d = \sqrt{{(-4 - (-4))^2 + (-2 - 6)^2}} \]

Simplifying:


\[ d = \sqrt{{0^2 + (-8)^2}} \]


\[ d = \sqrt{{64}} \]


\[ d = 8 \]

So, indeed, the distance between the points
\((-4, 6)\) and
\((-4, -2)\) is 8.

User Schlueter
by
7.8k points

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