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Write each of the following in the intercept form then list the x- and y-intercepts. (g) slope 3 over 7 , through (14, 3)

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Step-by-step explanation:

The slope-intercept form of the equation of a line is:


y=mx+b

Where m is the slope and b is the y-intercept.

In this problem the slope is 3/7:


y=(3)/(7)x+b

To find the y-intercept b we have to use the point. Replace x = 14 and y = 3 and solve for b:


\begin{gathered} 3=(3)/(7)\cdot14+b \\ 3=6+b \\ b=3-6=-3 \end{gathered}

Answer:

The equation is:


y=(3)/(7)x-3

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