Question

linear - equation - from - a - graph
write your answer using integers, proper fractions, and improper fractions in

Explanation:

Step1: Identify two points

The line passes through \((0, 0)\) and \((5, 1)\) (we can choose other points too, but these are clear).

Step2: Calculate the slope \(m\)

Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\), substitute \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(5,1)\). So \(m = \frac{1 - 0}{5 - 0}=\frac{1}{5}\).

Step3: Determine the equation

Since the line passes through the origin \((0,0)\), the \(y\)-intercept \(b = 0\). Using the slope - intercept form \(y=mx + b\), we substitute \(m=\frac{1}{5}\) and \(b = 0\). So the equation is \(y=\frac{1}{5}x\).

Answer:

\(y=\frac{1}{5}x\)