The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form? x - 5y - 25 = 0 x - 5y - 5 = 0 x + 5y - 25 = 0
answer is x + 5y - 25 = 0
y - 5 = -1/5 (x-0)
y - 5 = -1/5x
-5y + 25 = x
x + 5y - 25 = 0
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
\(y=mx+c\\\\y=\frac{-1}{5}x+5\\\\y=\frac{-x+25}{5}\\\\5y=-x+25\\\\x+5y-25=0\)
x + 5 y - 25 = 0
Option C is the correct answer.