Answer:
[tex]y = x/4 - 22/4[/tex] (parallel line that passes through (2,-5)
Step-by-step explanation:
[tex]4y = x - 20\\y = x/4 - 5[/tex]
here we isolated the original line
now we know that the line will have exactly the same slope but we need to find c in the new line: y = x/4 + c
so, we input the point (2,-5):
[tex]c = - \frac{20}{4} - \frac{2}{4} = -\frac{22}{4} \\y = \frac{x}{4} - \frac{22}{4}[/tex]
check that it works: y = 2/4 - 22/4 = -20/4 = -5
