Final answer:
The slope of the tangent line to circle P at point Q is -1/4.
Step-by-step explanation:
The slope of the tangent line to circle P at point Q can be determined by finding the negative reciprocal of the slope of the diameter that passes through point Q. The equation y = 4x + 2 has a slope of 4, so the slope of the tangent line is -1/4.
Learn more about slope of a line on a coordinate plane