Answer:
[tex]y=\frac{-11}{13} x-\frac{92}{13}[/tex]
Step-by-step explanation:
To solve this, we must use the point slope formula. This means that we must solve the given equation for y in order to find its slope. Then we can use the formula which is [tex]y-y_{1} =m(x-x_{2} )[/tex]
[tex]-11x-13y=14\\\\-13y=11x+14\\\\y=\frac{-11}{13}x-\frac{14}{13} \\\\m=\frac{-11}{13}[/tex]
Now that we know the point and the slope, we can plug in these values into our formula
[tex]y-(-13)=\frac{-11}{13} (x-7)\\\\y+13=\frac{-11}{13}x +\frac{77}{13} \\\\y=\frac{-11}{13}x +\frac{77}{13}-\frac{169}{13} \\\\y=\frac{-11}{13}x-\frac{92}{13}[/tex]
