Question

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

Answer 1

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