Which equation represents Grant's path?A circle representing a pool is graphed with a center at theorigin. Grant enters the pool at point A and swims over to afriend who is located at point B.Oy= 2 - 4xO y=4-Oy = 6-0Oy = 8 - 2x-10to224610x

Accepted Solution

Answer:[tex]y=4-\frac{x}{2}[/tex]Step-by-step explanation:Find the coordinates of point A and point BLooking at the graphwe have the pointsA(8,0) and B(-4,6)step 1Find the slope mThe formula to calculate the slope between two points is equal to[tex]m=\frac{y2-y1}{x2-x1}[/tex]substitute the values[tex]m=\frac{6-0}{-4-8}[/tex][tex]m=\frac{6}{-12}[/tex][tex]m=-\frac{1}{2}[/tex]step 2Find the equation in point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=-\frac{1}{2}[/tex][tex]point\ A(8,0)[/tex]substitute[tex]y-0=-\frac{1}{2}(x-8)[/tex]Convert to slope intercept form[tex]y=mx+b[/tex]Distribute in the right side[tex]y=-\frac{1}{2}x+4[/tex]rewrite[tex]y=4-\frac{1}{2}x[/tex] -----> [tex]y=4-\frac{x}{2}[/tex]