The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)
What is a line segment?
A line segment is formed by joining two points by a straight line.
Analysis:
The coordinates of point B(x,y) are gotten by the formula
x = [tex]\frac{px2 + qx1}{p+q}[/tex]
y = [tex]\frac{py2 + qy1}{p + q}[/tex]
where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B
are the values of the ratio p:q.
x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3
x = [tex]\frac{(1 x 1) + (3 x 4)}{1 + 3}[/tex] = 3.25
y = [tex]\frac{(1 x 5) + ( 3 x 2)}{1+3}[/tex] = 2.75
coordinates of B are ( 3.25, 2.75)
In conclusion, the coordinates of point B are (3.25, 2.75)
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