Question

How do you graph `6x+4y=12` using intercepts?

Answer 1

See explanation

Explanation:

Given:`" "6x+4y=12`

Believe it or not, if you divide both sides by 2 and plot you will find that both equations produce exactly the same plot.

Divide both sides by 2

`3x+2y=6`

You could manipulate this into the form `y=mx+c` but you do not need to.
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We know that the x-axis crosses the y-axis at `x=0` so to determine the y-intercept set `x=0`

`3x+2y=6" "->" "3(0)+2y=6`
`" "2y=6`
`" "y=3`

`y_("intercept")=3`
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We know that the y-axis crosses the x-axis at `y=0` so to determine the x-intercept set `y=0`

`3x+2y=6" "->" "3x+2(0)=6`
`" "3x=6`
`" "x=2`

`x_("intercept")=2`
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Mark your points and draw a straight line through them.