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. which equation represents grants path? o y = 2 - 4x o y = 4 - x/2 o y = 6 - x/4 o y = 8 - 2x

Explanation:

Step1: Find two - point coordinates

From the graph, assume point A is \((8,0)\) and point B is \((0,6)\).

Step2: Use slope - intercept form \(y = mx + b\)

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{6 - 0}{0 - 8}=-\frac{3}{4}\). The \(y\) - intercept \(b\) is the \(y\) - value when \(x = 0\), which is \(b = 6\). The equation of the line is \(y=-\frac{3}{4}x + 6\), which can be rewritten as \(y = 6-\frac{x}{4}\).

Answer:

\(y = 6-\frac{x}{4}\) (corresponding to the third option)