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A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B. Which equation represents Grant’s path? y = 2 – 4x y = 4 – y = 6 – y = 8 – 2x

A circle representing a pool is graphed with a center at the origin Grant enters the pool at point A and swims over to a friend who is located at point B Which class=

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frika

From the diagram above you can see that points A and B have coordinates (8,0) and (-4,6), respectively.

The equation of the line passing through the pointa A and B is:

[tex]y-y_A=\dfrac{y_B-y_A}{x_B-x_A}(x-x_A).[/tex]

Then

[tex]y-0=\dfrac{6-0}{-4-8}(x-8),\\ \\y=-\dfrac{6}{12}(x-8),\\ \\y=-\dfrac{1}{2}(x-8),\\ \\y=-\dfrac{1}{2}x+4.[/tex]

Answer: [tex]y=4-\dfrac{1}{2}x.[/tex]

aescott7428

Answer:

y = 4 – x/2

on edg

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