Answer:
[tex]f(x)=\frac{3}{2}x+4[/tex]
Step-by-step explanation:
The Slope-Intercept Form equation is f(x)=mx+b
m= slope
b= y-intercept
you are already given the slope ([tex]\frac{3}{2}[/tex]), so you only have to find the y-intercept.
first, plug in the x of the point given (-6) into the equation
[tex]\frac{3}{2}[/tex](-6)=-9
then you find the difference of the answer and the y of the given point (-5)
-5-(-9)
-5+9=4
b=+4
Hope this makes sense.