PLEASE HE I NEED THE ANSWER PRETY SOON A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit. (10 points) PLEASE WRITE ALL THE WORK USED TO COMPLETE THE PROBLEM

Given:

A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divide a line segment in m:n, then

Point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. So, using section formula, we get

Therefore, the  coordinates of point Q are .

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

black/brown

step-by-step explanation:

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