A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio.Find M

Answer 1

because there is right triangle similarity, 5/6th of hypotenuse is same as 5/6th each x distance and y distance

x=(5/6)(10-1)

y=(5/6)(3-(-2))

correction based on expert Brenda's answer

must add the 5/6th amounts to first point in calculation

M(x,y) point

x_m=1+(5/6)(10-1)

y_m=-2+(5/6)(3-(-2))