Problem
Which equation represents the line that has a slope of $\frac{1}{3}$ and an $x$-intercept of 5 ? A. $y-5=\frac{1}{3} x$ C. $y-0=\frac{1}{3}(x+5)$ B. $y-0=\frac{1}{3}(x-5)$ D. $y-5=\frac{1}{3}(x-5)$
Solution
Step 1 ：Given the slope m = \(\frac{1}{3}\) and the point (5, 0)
Step 2 ：Use the point-slope form: y - y1 = m(x - x1)
Step 3 ：Plug in the values: y - 0 = \(\frac{1}{3}\)(x - 5)
Step 4 ：\boxed{y = \frac{1}{3}(x - 5)}
