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

Answer:

4-x/2

Step-by-step explanation:

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Answer 2

The equation represents Grant's path is $y=4-\frac{1}{2}x$

What is Slope of the line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

What is Coordinate system?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given,

The points A(8,0) and B(0,4)

Slope of the line = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Slope of the line = $\frac{4-0}{0-8}=-\frac{1}{2}$

Then the path of the Grant $y=-\frac{1}{2}(x-8)$

Simplify the equation

$y=-\frac{1}{2}+4\\ y=4-\frac{1}{2}$

Hence, the equation represents Grant's path is $y=4-\frac{1}{2}x$

Learn more about Slope of the line and Coordinate system here

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