Answer:
Step-by-step explanation:
5x - 10y = 1
-10y = -5x + 1
Divide the the entire equation by -10
[tex]\dfrac{-10y}{-10}=\dfrac{-5x}{-10}+\dfrac{1}{-10}\\\\y=\dfrac{1}{2}x-\dfrac{1}{10}[/tex]
m1 = 1/2
The slope of the perpendicular line = -1/m = -1÷ (1/2)
=[tex]-1*\dfrac{2}{1}=-2[/tex]
Equation of the line : y = mx + b
y = -2x + b
Plug in x = 1/2 and y = (-2/5)
[tex]\dfrac{-2}{5}=\dfrac{1}{2}*(-2)+b\\\\\dfrac{-2}{5}=-1+b\\\\\dfrac{-2}{5} + 1 = b\\\\\dfrac{-2}{5}+\dfrac{5}{5}=b\\\\\\b=\dfrac{3}{5}[/tex]
Equation of the line:
[tex]y=-2x+ \dfrac{3}{5}[/tex]
