Answer:
The equation of the line in point slope form is equal to
![(y-4)=\frac{4}{3}(x+2)](https://tex.z-dn.net/?f=%28y-4%29%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29)
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point-slope form is equal to
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![3y-12=4x+8](https://tex.z-dn.net/?f=3y-12%3D4x%2B8)
Convert to point slope form
Factor 3 left side and factor 4 right side
![3(y-4)=4(x+2)](https://tex.z-dn.net/?f=3%28y-4%29%3D4%28x%2B2%29)
Divide by 3 both sides
![(y-4)=\frac{4}{3}(x+2)](https://tex.z-dn.net/?f=%28y-4%29%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29)
In this equation
the point is (-2,4)
the slope is ![m=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B3%7D)
using a graphing tool
The graph in the attached figure