Question

complete the following equations. enter an equation for line p: y = x

Explanation:

Step1: Identify the slope

The line passes through the origin \((0,0)\) and another point, say \((6,6)\) (from the blue square at \(x = 6\), \(y = 6\)). The slope \(m\) is calculated as \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using \((0,0)\) and \((6,6)\), we get \(m=\frac{6 - 0}{6 - 0}=1\).

Step2: Determine the equation

The general form of a line is \(y = mx + b\). Since the line passes through the origin \((0,0)\), the y - intercept \(b = 0\). Substituting \(m = 1\) and \(b = 0\) into the equation, we get \(y=1\times x+0\), which simplifies to \(y = x\).

Answer:

\(y = x\)