Question

roxanne is measuring the diameter and the radius of different - sized circles. a circle with a 1 - inch radius has a diameter of 2 inches. a circle with a 2 - inch radius has a diameter of 4 inches.
in this relationship, x represents the radius in inches, and y represents the diameter in inches.
graph two points for this relationship and the line passing through them.

Explanation:

Step1: Find the relationship equation

The formula for the diameter \(y\) of a circle in terms of the radius \(x\) is \(y = 2x\).

Step2: Find two points

When \(x = 1\), \(y=2\times1 = 2\), so one point is \((1,2)\).
When \(x = 2\), \(y = 2\times2=4\), so another point is \((2,4)\).

Answer:

Plot the points \((1,2)\) and \((2,4)\) on the coordinate - plane and draw a straight line passing through them. The line represents the equation \(y = 2x\).