Question

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Explanation:

Assuming the problem is to find the equation of the line or its slope. Let's find the slope first.

Step1: Identify two points

The line passes through (0, 0) and (2, 1). Let \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (2, 1)\).

Step2: Use slope formula

The slope \(m\) is given by \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Substituting the values: \(m = \frac{1 - 0}{2 - 0} = \frac{1}{2}\).

Step3: Equation of the line

Since it passes through the origin \((0,0)\), the equation is \(y = mx\), so \(y = \frac{1}{2}x\).

Answer:

If finding the slope, the slope is \(\frac{1}{2}\); if finding the equation, the equation is \(y = \frac{1}{2}x\)