Question

Etry B.11 Partition a line segment in a given ratio J42

The coordinates of the endpoints of AB are A(-12, 10) and B(-5, -11). Point C is on AB and
divides it such that AC:BC is 2:5.
What are the coordinates of C?
Write your answers as integers or decimals.
Submit
Midpoint formula: find the midpoint
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Answer 1

To find the coordinates of point C, we use the midpoint formula. The coordinates of point C are (-8.5, -0.5).

Step-by-step explanation:

To find the coordinates of point C, we need to find the coordinates of the midpoint of segment AB. First, let's find the x-coordinate of the midpoint using the formula:

xM = (xA + xB)/2

Substituting the given values, we get:

xM = (-12 + -5)/2 = -17/2 = -8.5

Next, let's find the y-coordinate of the midpoint using the same formula:

yM = (yA + yB)/2

Substituting the given values, we get:

yM = (10 + -11)/2 = -1/2 = -0.5

Therefore, the coordinates of point C are (-8.5, -0.5)

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