Question 678373
y = {{{(-1/3)x-2}}}
y intercept is -2, plot (0, -2)
x intercept is when y = 0
0 = {{{(-1/3)x - 2}}}
2 = {{{-1/3}}}x
-6 = x, so plot (-6,0)
Draw a line through the intercepts
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x+3y = 9
3y = -x + 9
y = {{{(-1/3)x + 9/3}}}
y = {{{(-1/3)x + 3}}}
y intercept is 3, plot (0, 3)
x intercept is when y = 0
0 = {{{(-1/3)x + 3}}}
-3 = {{{-1/3}}}x
9 = x, so plot (9,0)
Draw a line through the intercepts
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Because they have the same slope there will be not solution.
The lines will never cross since they are parallel.
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{{{graph(300,200,-10,12,-10,10,(-1/3)x-2, (-1/3)x+3)}}}
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To confrim algebraically, set equations equal to each other
{{{(-1/3)x - 2 = (-1/3)x + 3}}}
{{{(-1/3)x + (1/3)x - 2 = 3}}}
{{{-2<>3}}}
The system is inconsistent.
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