In the standard $(x,y)$ coordinate plane, the line with equation $y+1=\dfrac{3}{4}(2x+8)$ has a slope of:

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Rewrite in slope-intercept form:

$$y+1=\frac{3}{4}(2x+8)$$ $$y+1 = \frac{3}{2}x+ 6$$ $$y=\frac{3}{2}x+5$$