# How do you write an equation the line that is parallel to 5x+ 20y =10 and passes through the point (8, 3)?

The equation of line is $x + 4 y = 20$
The slope of the line $5 x + 20 y = 10 \mathmr{and} 20 y = - 5 x + 10 \mathmr{and} y = - \frac{5}{20} x + \frac{10}{20} = - \frac{1}{4} x + \frac{1}{2}$ is $m = - \frac{1}{4}$
The equation of line passing through $\left(8 , 3\right)$ is $y - {y}_{1} = m \left(x - {x}_{1}\right) \mathmr{and} y - 3 = - \frac{1}{4} \left(x - 8\right) \mathmr{and} 4 y - 12 = - x + 8 \mathmr{and} x + 4 y = 20$ [Ans]