Answer:
[tex]y=\frac{3}{4}x+(-9)[/tex] or [tex]y=\frac{3}{4}x-9[/tex] (because a positive and negative sign together equal a negative)
Step-by-step explanation:
The slope-intercept form is y=mx+b. In the equation for slope-intercept form m=slope and b=y-intercept. You have the slope and y-intercept so all you have to do is put them in the right places. Since the slope is [tex]\frac{3}{4}[/tex] your put the [tex]\frac{3}{4}[/tex] where the m is and get [tex]y=\frac{3}{4}x+b[/tex]. Then since you know the y-intercept is (0,-9)= -9 then you just need to put the -9 where the b is to get [tex]y=\frac{3}{4}x+(-9)[/tex].