Question

3

What are the coordinates of the point that is
of the way from A(-8, -9) to
B(24,-1)?
OA. (-6,4)
OB. (4, -6)
O C. (12,-4)
OD. (-2,4)

Answer 1

The coordinates of the point that is \(\frac{3}{4}\) of the way from A(-8, -9) to B(24,-1) are (8, -5).

Step-by-step explanation:

To find the coordinates of the point that is \(\frac{3}{4}\) of the way from A(-8, -9) to B(24,-1), we can use the midpoint formula. The midpoint formula states that the coordinates of the point \(M\) that is \(\frac{3}{4}\) of the way from point A to point B can be found using the following formula: \[M\left(\frac{{x_1+x_2}}{2},\frac{{y_1+y_2}}{2}\right)\]

Using the formula, we can calculate the coordinates as follows: \[M\left(\frac{{(-8+24)}}{2},\frac{{(-9-1)}}{2}\right) = M(8,-5)\]

Therefore, the coordinates of the point that is \(\frac{3}{4}\) of the way from A to B are (8, -5).

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