From the section formula, the coordinates of B are (3.25,2.75).
What is section formula?
Section formula is used to find the coordinates of the point that divides a line segment in a ratio, either internally or externally.
Let M(x,y) be a point, dividing the line XY, with coordinates X (a, b) and Y (c, d), in a ratio m:n, internally.
Then, x = [tex]\frac{an+cm}{m+n}[/tex] and y = [tex]\frac{bn+dm}{m+n}[/tex]
Given:
By Section Formula,
x = [tex]\frac{4*3+1*1}{1+3}[/tex]
= [tex]\frac{13}{4}[/tex]
= 3.25
and y = [tex]\frac{2*3+1*5}{1+3}[/tex]
= [tex]\frac{11}{4}[/tex]
= 2.75
From the section formula, the coordinates of the point B are (3.25,2,75).
To learn more about the section formula, refer to the link: https://brainly.com/question/26433769
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