Answer:
Correct answer: C (6.5 , - 8)
Step-by-step explanation:
Given points A(-1,-2) and B(9, -10)
The formula by which we calculate the coordinates of a point, let be C, that divides the line segment in the given ratio is.
Xc = (Xa + λ · Xb) / (1 + λ) and Yc = (Ya + λ · Yb) / (1 + λ)
Where λ is the coefficient which depends on the direction of the ratio in this case is:
λ = 3 : 1 = 3
Xc = (-1 + 3 · 9) / (1 + 3) = (-1 + 27)/ 4 = 26 / 4 = 6.5
Xc = 6.5
Yc = (-2 + 3 · (-10) / (1 + 3) = (-2 - 30)/ 4 = -32 / 4 = - 8
Yc = - 8
God is with you!!!
