Question

What are the coordinates of the point that is 1/6 of the way from a(14,-1) b(-4,23)

Answer 1

The answer is (11,3) The other answer is wrong

Explanation:

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Answer 2

`\text{The coordinates of point is }P(a,b)=((80)/(7), (17)/(7))`

Explanation:

`\text{Given the coordinates of point that is }(1)/(6)\text{ of the way from a(14, -1), b(-4, 23)}`

`\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}`

`P(a,b)=((mx_2+nx_1)/(m+n), (my_2+ny_1)/(m+n))`

The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6

`P(a,b)=((1(-4)+6(14))/(1+6), (1(23)+6(-1))/(1+6))`

`P(a,b)=((80)/(7), (17)/(7))`