Question

A circle representing a pool is graphed with a center at the original. Grant eneters the pool at point A and swims over friend who is located at point B

Answer 1

Since we have two point of the line, we can easily apply the slope-point formula for a line:

the two points are A=(8,0) and B=(-4,6)

then the slope will be:

$m=\frac{6-0}{-4-8}=\frac{6}{-12}=-\frac{1}{2}$

then the equation of the line will be:

$(y-0)=-\frac{1}{2}(x-8)\Rightarrow y=-\frac{1}{2}x+4$

the correct answer is the second option:

$y=4-\frac{x}{2}$