Answer:
[tex]y=-\frac{1}{3}x-3[/tex]
Step-by-step explanation:
we know that
The equation of the line in point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{1}{3}[/tex]
[tex](x1,y1)=(3,-4)[/tex]
substitute
[tex]y+4=-\frac{1}{3}(x-3)[/tex]
Convert to slope intercept form
isolate the variable y
[tex]y+4=-\frac{1}{3}x+1[/tex]
[tex]y=-\frac{1}{3}x+1-4\\y=-\frac{1}{3}x-3[/tex]
