Determine the point that partitions line segment ((1,1),(6,6)) into a 3:7 ratio. Show work please

 is the point that partitions line segment ((1,1),(6,6)) into a 3:7 ratio.

Step-by-step explanation:

Let AB is the line segment with A having the coordinates (1, 1) and B having the coordinates (6, 6)

Let us consider the point P(x, y) partitions the line segment AB into a ratio 3:7

Considering the formula to find the coordinates of P(x, y)

From the data,

so

also

Therefore,  is the point that partitions line segment ((1,1),(6,6)) into a 3:7 ratio.

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step-by-step explanation: