How do you graph $3 x + y = 12$ $3x+y=12$ using intercepts?

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How do you graph $3 x + y = 12$ $3x+y=12$ using intercepts?

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Answer 1 · 2016-10-17T00:10:02

Graph the x intercept $(4, 0)$ $(4,0)$ and the y intercept $(0, 12)$ $(0,12)$ and connect them with a line.

Explanation:

$3 x + y = 12$ $3x+y=12$

To find the $x$ $x$ intercept, set $y = 0$ $y=0$ .

$3 x + 0 = 12$ $3x+0=12$

$\frac{3 x}{3} = \frac{12}{3}$ $(3x)/3=12/3$

$x = 4$ $x=4$

The x intercept is $(4, 0)$ $(4,0)$ .

To find the $y$ $y$ intercept, set $x = 0$ $x=0$ .

$3 (0) + y = 12$ $3(0)+y=12$

$0 + y = 12$ $0+y=12$

$y = 12$ $y=12$

The $x$ $x$ intercept is $(0, 12)$ $(0,12)$ .

To graph this line using the intercepts, first graph the two points $(4, 0)$ $(4,0)$ and $(0, 12)$ $(0,12)$ . Then connect the two points with a line.

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How do you graph $3 x + y = 12$ $3x+y=12$ using intercepts?

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