Question

practice
write the equation for each line.
3
(grid with a line passing through the origin, x-axis from -5 to 5, y-axis from -5 to 5)
equation: ____________

Explanation:

Step1: Identify the slope

The line passes through the origin \((0,0)\) and another point, say \((2,2)\). The slope \(m\) is calculated as \(\frac{y_2 - y_1}{x_2 - x_1}\). Using \((0,0)\) and \((2,2)\), we get \(m=\frac{2 - 0}{2 - 0}=1\).

Step2: Determine the y-intercept

Since the line passes through \((0,0)\), the y - intercept \(b = 0\).

Step3: Write the equation

The slope - intercept form of a line is \(y=mx + b\). Substituting \(m = 1\) and \(b = 0\), we get \(y=x+0\) or \(y = x\).

Answer:

\(y = x\)