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What are the coordinates of the point that is 7/10 of the way from point A to point B?

a) (-3, -5)
b) (10, 4)
c) (-1.6, -2.6)
d) (6.4, 3.4)

1 Answer

3 votes

Final answer:

The coordinates of the point that is 7/10 of the way from point A to point B are (6.1, 1.3)

Step-by-step explanation:

To find the coordinates of the point that is 7/10 of the way from point A to point B, we can use the midpoint formula.

Let's say that point A is (x1, y1) and point B is (x2, y2).

The coordinates of the point that is 7/10 of the way from point A to point B is:

(x1 + 7/10 * (x2 - x1), y1 + 7/10 * (y2 - y1))

Substituting the values from point A(-3, -5) and point B(10, 4) into the formula, we get:

(-3 + 7/10 * (10 - (-3)), -5 + 7/10 * (4 - (-5)))

(-3 + 7/10 * 13, -5 + 7/10 * 9)

(-3 + 9.1, -5 + 6.3)

(6.1, 1.3)

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