Answer:
[tex]y =\frac{-1}{4}x + 4[/tex]
Step-by-step explanation:
Parallel lines have same slope
x + 4y = 28
4y = -x + 28
[tex]y=\frac{-1}{4}x+\frac{28}{4}\\\\y=\frac{-1}{4}x+7[/tex]
m = (-1/4) and line passes through (8 , 2)
Equation: y - y₁ = m(x - x₁)
[tex]y - 2 = \frac{-1}{4}(x - 8)\\\\y -2 = \frac{-1}{4}x - 8*\frac{-1}{4}\\\\y -2 = \frac{-1}{4}x + 2\\\\ y = \frac{-1}{4}x + 2 +2\\\\ y =\frac{-1}{4}x + 4[/tex]
