The coordinates of point B so that the ratio of AB to BC is 5 to 2 is; (18, -8)
How to divide a Line segment?
The formula for division of a line segment is by using the Section formula;
P (x, y) = [(mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)]
We are given the coordinates; A(-7, 2) and C(28, -12)
Thus, the coordinates of point B which divides the Line is;
B(x, y) = [(5(28) + 2(-7))/(5 + 2), (5(-12) + 2(2))/(5 + 2)]
B(x, y) = (126/7), (-56/7)
B(x, y) = (18, -8)
Thus, the coordinates of point B so that the ratio of AB to BC is 5 to 2 is; (18, -8)
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