Question

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Answer 1

The first point and second one will divide the line, in the ratio of 1:2 and 2:1.

First, the points can be found by applying the formula.

• $(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )$ in the ratio m:n and two points $(x_n,y_n)$

The first point can be found.

$(\frac{-7+4}{1+2} ,\frac{4-4}{1+2} )=(-1,0)$

Then apply the same rule on the second point.

$(\frac{-14+2}{2+1} ,\frac{8-2}{2+1} )=(-4,2)$

Therefore, two points are $(-1,0)$ and $(-4,2)$.