Answer:
[tex]y=-\frac{7}{4}x-2[/tex]
Step-by-step explanation:
There is enough information to create an equation in point - slope form.
[tex]y-y_1=m(x-x_1)[/tex]
We have a slope of -7/4 and the point of (-4,5).
[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]
Convert to slope intercept:
[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]
Hope this helps.
