Question

write the equation of the line graphed below in simplest form.

Explanation:

Step1: Identify the line's nature

The line is horizontal, passing through the origin \((0,0)\) and all points where \(y = 0\). For a horizontal line, the slope \(m = 0\) (since there's no change in \(y\) for any change in \(x\)).

Step2: Use slope - intercept form

The slope - intercept form of a line is \(y=mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. Since the line passes through \((0,0)\), the \(y\) - intercept \(b = 0\), and \(m = 0\). Substituting these values into the formula, we get \(y=0\times x+0\), which simplifies to \(y = 0\).

Answer:

\(y = 0\)