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?

Answer 1

x + 2y = 8 is the equation represent grant's path

Step-by-step explanation:

a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (- 4, 6).

Slope of AB = (6-0)/(-4 - 8)

= 6/(-12)

= -1/2

y = mx + c

m = -1/2

y = -x/2 + c

0 = -8/2 + c

c = 4

y = = -x/2 + 4

2y = -x + 8

x + 2y = 8

passes through 0,4

0 + 2×4 = 8

8 = 8

satisfied

x + 2y = 8 is the equation represent grant's path

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