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

Answer 1

Slope m = (6 - 0)/(-4 - 8) = 6/(-12) = -1/2.
Use point-slope with A(8,0): y - 0 = -1/2(x - 8) → y = -1/2 x + 4.

So the path is y = 4 - (1/2)x (which matches the option y = 4 − 1/2 x).