Answer:
The equation of the line in point slope form is equal to
[tex](y-4)=\frac{4}{3}(x+2)[/tex]
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
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]3y-12=4x+8[/tex]
Convert to point slope form
Factor 3 left side and factor 4 right side
[tex]3(y-4)=4(x+2)[/tex]
Divide by 3 both sides
[tex](y-4)=\frac{4}{3}(x+2)[/tex]
In this equation
the point is (-2,4)
the slope is [tex]m=\frac{4}{3}[/tex]
using a graphing tool
The graph in the attached figure
