Respuesta :

answer is x + 5y - 25 = 0

y - 5 = -1/5 (x-0)
y - 5 = -1/5x
-5y + 25 = x
x + 5y - 25 = 0

x + 5 y - 25 = 0

Option C is the correct answer.

Step-by-step explanation:

Equation of straight line is given by y = mx + c

    Slope of line , m = -1/5

    y- intercept, c = 5

Substituting

                      [tex]y=mx+c\\\\y=\frac{-1}{5}x+5\\\\y=\frac{-x+25}{5}\\\\5y=-x+25\\\\x+5y-25=0[/tex]

x + 5 y - 25 = 0

Option C is the correct answer.