equation of a line passing through the origin and a given point
Check the final answer first, then review the worked steps.
Problem
equation of a line passing through the origin and a given point
Step-by-step solution
The line passes through (0,0) and (6,2). The slope is m = (2-0)/(6-0) = 2/6 = 1/3. The equation is y = mx + b. Since it passes through the origin, b=0. Thus, y = 1/3 x.
Answer
y = \frac{1}{3} x