Question

WORTH 35 POINTS HELP MEEEEEEE PLEZ I NEED HELP

Write an equation parallel to x-4y=20 that passes through the point 2,-5

Answer 1

`y = x/4 - 22/4` (parallel line that passes through (2,-5)

Explanation:

`4y = x - 20\\y = x/4 - 5`

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):

`c = - (20)/(4) - (2)/(4) = -(22)/(4) \\y = (x)/(4) - (22)/(4)`

check that it works: y = 2/4 - 22/4 = -20/4 = -5