Find the coordinates of the point which divides the line segment joining the points A(-5, 11) and B(4, -7) in the ration 7:2.
Answers
Let x₁ = - 1, y₁ = 7, x₂ = 4 and y₂ = - 3, m = 2, n = 3
By Section formula, P (x, y) = [(mx₂ + nx₁ / m + n) , (my₂ + ny₁ / m + n)] --- (1)
By substituting the values in the equation (1)
x = [2 × 4 + 3 × (- 1)] / (2 + 3) and y = [2 × (- 3) + 3 × 7] / (2 + 3)
x = (8 - 3) / 5 and y = (- 6 + 21) / 5
x = 5/5 = 1 and y = 15/5 = 3
Therefore, the coordinates of point P are (1, 3).
Answer:
Step-by-step explanation:
If a point P(x,y) divides a line segment having end points coordinates (x1,y1) and (x2,y2), then coordinates of the point P can be find using formula:
x=m1+m2m1x2+m2x1
y=m1+m2m1y2+m2y1
Let P(x,y) be the point which divides the line joining the points A(−5,11) and B(4,−7) in the ratio 7:2.
x=(7×4+2×(−5))/(7+2)
=(28−10)/9
=18/9
=2
y=(7×(−7)+2×11)/9
=(−49+22)/9
=−27/9
=−3
Therefore, required point is (2,−3).