Respuesta :

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.