Question

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. A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6). Which equation represents Grant’s path? y = 2 – 4x y = 4 – y = 6 – y = 8 – 2x Mark this and return

Answer 1

The equation that represents the Grants path will be y = 4 -1/2x.

How to compute the equation?

It should be noted that based on the information given, the slope of the line will be:

= y2 - y1/x2 - x1

= (4 - 0)/(0 - 8)

= -1/2

The path of the Grant will now be:

y = - 1/2(x - 8)

Simplify the equation

y = -1/2 + 4

y = 4 - 1/2

Therefore, the equation will be y = 4 -1/2x.

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