The coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Midpoint of a line
The formula for calculating the point on a line divided into ratio a:b is expressed as;
C(x,y) = {(ax₁+bx₂)/2, (ay₁+by₂)/2}
Given the following coordinate points A(4, 2) to B(8, 7) divided in the ratio 1:5 is expressed as:
C(x,y) = {(1(4)+5(8))/1+5, (1(2)+5(7))/1+5}
C(x,y) = {(44/6, (37/6)}
Hence the coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Learn more on midpoint here: https://brainly.com/question/5566419
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