Respuesta :

We are given the following equation:

[tex]y-6=\frac{3}{8}x[/tex]

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

[tex]y=mx+b[/tex]

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

To take the given equation to the slope-intercept form we need to add 6 to both sides:

[tex]\begin{gathered} y-6+6=\frac{3}{8}x+6 \\ y=\frac{3}{8}x+6 \end{gathered}[/tex]

Therefore, the y-intercept is 6, and the slope is 3/8.

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