Karyn T. answered 09/18/17
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For the love of Math! Experienced Math tutor for grades 6-12
Hi Abs,
A bit of confusion here because there seems to be some missing information in the question.
If you just need a y=mx+b form of the original equation then you would Subtract 8x from both sides of the equation to get 4y = 20-8x. Then Divide both sides by 4 to isolate y and you get y=-2x+5. The slope and the y intercept are found by rearranging the equation to solve for y.
If you need a line parallel to 4y + 8x = 20 that passes through (4,6) then you would set the slope = -2 (parallel lines have the same slope) and then solve for b. As in y=-2x + b, substitute in (4,6) and solve for b. 6 = -2(4) + b and therefore b = 14. The final parallel equation would be y = -2x + 14.
Hopefully, one of these answers is what you are looking for.
Karyn