What is the graph of $6 x + 3 y = 18$ $6x+3y=18$ ?

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What is the graph of $6 x + 3 y = 18$ $6x+3y=18$ ?

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Answer 1 · 2015-03-27T03:08:46

The graph is a straight line. This is a linear equation and you can write it in the form (isolating $y$ $y$ on one side):
$y = - \frac{6}{3} x + \frac{18}{3}$ $y=-6/3x+18/3$
or
$y = - 2 x + 6$ $y=-2x+6$

Observing your equation you can see
$- 2$ $-2$ which is the slope of your line, and tells you that is decreasing (as $x$ $x$ increases $y$ $y$ decreases); and $6$ $6$ that is the intercept on the $y$ $y$ axis.
So:
if $x = 0$ $x=0$ then $y = 6$ $y=6$
if $x = 1$ $x=1$ then $y = 4$ $y=4$

if $y = 0$ $y=0$ then $x = 3$ $x=3$

Graphically:
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What is the graph of $6 x + 3 y = 18$ $6x+3y=18$ ?

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