How do you graph the line #-4x - 16y = 4#?

1 Answer
Mar 29, 2016

Answer:

See explanation

Explanation:

The easiest way is to manipulate the equation into the form of

#y=mx+c#

The assign different values to x from which you can then calculate the corresponding value for y. For a straight line graph you only need two points that you can join up and extend to give the graph plot. How ever, 3 points are better as it increases the chance of showing up any error. All 3 points should line up.
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#color(blue)("Solving your question")#

Given;#" "-4x-16h=4#

To make the #y# term positive multiply everything by (-1) giving

#color(brown)(+4x+16y=-4)#

Subtract #color(blue)(4x) from both sides

#color(brown)(+4xcolor(blue)(-4x)+16y=-4color(blue)(-4x))#

#0+16y=-4x-4#

Divide both sides by 16

#16/16xxy=-4/16x-4/16#

But #16/16=1# and #4/16=1/4#giving

#y=-1/4x-1/4#

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Tony B

Tony B