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shutvik [7]
2 years ago
10

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A (-5, 12) B (11, 0)

1 :3
Mathematics
1 answer:
zhenek [66]2 years ago
7 0

Answer:

(7, 3)

Step-by-step explanation:

Using the midpoint formula

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

X = ax1+bx2/a+b

X = -5(1)+3(11)/1+3

X = -5+33/4

X = 28/4

X = 7

Y = ay1+by2/a+b

Y = 1(12)+3(0)/1+3

Y = 12/4

Y = 3

Hence the coordinate of P is at (7, 3)

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1. (3 , 2); y = 3x - 2

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To find b, you plug in the point (3 , 2) into the equation

2 = -\frac{1}{3} (3) + b

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The equation of the line perpendicular to the given equation is:

y = -\frac{1}{3} x +3

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