Answer:
[tex]y = - \frac{1}{5} x - 7[/tex]
Step-by-step explanation:
let's rewrite the equation
[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]
Now let's use the given point and substitute it to find the y-intercept
[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]
