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. $y-5=\frac{1}{3}(x-5)$

Answer

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Answer

\boxed{y = \frac{1}{3}(x - 5)}

Steps

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)}