The coordinate of the points that divides the line into the given ratio is (-3.375, 2.25)
The given parameters;
(-4.5, 0) and (0, 9)
the ratio of the line m:n = 1:3
The coordinate of the points that divides the line in the given ratio is calculated as;
[tex](x, y) = \frac{mx_1 + nx_2}{m+n} , \frac{my_1 + ny_2}{m+ n}[/tex]
Substitute the given values and determine the coordinate of the new points;
[tex](x, y) =\frac{3(-4.5) + 1 (0)}{3+1} , \frac{3(0) + 1 (9)}{3+1} \\\\(x, y) = (-3.375, \ 2.25)[/tex]
Thus, the coordinate of the points that divides the line into the given ratio is (-3.375, 2.25)
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