Slope of the line [tex]Y=\frac{3}{2} x+3[/tex] is [tex]\frac{3}{2}[/tex] and the y intercept is [tex](0,3)[/tex].
We have equation of the line is[tex]Y=\frac{3}{2} x+3[/tex]
As the standard form of the equation is [tex]y=mx+b[/tex] where m is the slope.
Now, here [tex]m=\frac{3}{2}[/tex]
So slope of the line is [tex]\frac{3}{2}[/tex]
Now, for y intercept put x=0, we get
[tex]y=\frac{3}{2}0+3\\y=3[/tex]
So y intercept is (0,3).
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