Question

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

Answer 1

The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)

What is a line segment?

A line segment is a straight line that passes through two given points.

The end points of the line determine how long or short a given line segment would be.

Analysis:

point Q(x, y )

x = $\frac{MX1 + NX2}{M+N}$

y = $\frac{MY1 + MY2}{M+N}$

where M :N = 4:1

x1 = 2, x2 = 4, y1 = -1, y2 = 2

x = $\frac{4(2) +1(4)}{4+1}$ = 12/5

y = $\frac{4(-1) + 1(2)}{4+1}$ = -2/5

In conclusion, the point Q is (12/5, -2/5).

Learn more about line segment: brainly.com/question/2437195

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