Final answer:
To find the value of y, use the distance formula to set up equations for the distances between the points A and P, and A and Q. Simplify the equation and solve for y to get y = 1.
Step-by-step explanation:
To find the value of y, we can use the distance formula to set up equations for the distances between the points A and P, and A and Q. The distance formula is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can set up the following equation for the distances:
√((6 - 3)^2 + (5 - y)^2) = √((0 - 3)^2 + (-3 - y)^2)
Simplifying the equation yields:
(3^2 + (5 - y)^2) = (3^2 + (-3 - y)^2)
Solving for y gives y = 1.