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

1 Answer
Mar 22, 2017

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.

Tony BTony B