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lubasha [3.4K]
3 years ago
14

what is the equation of the line described below written in slope intercept form? the line passing through point (0,0) and parel

lel to the line whose equation is 3x+2y-6=0
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0
Solve <span>3x+2y-6=0 for y

2y-6=-3x

2y=-3x+6

y=-1.5x+3

So the slope of the reference line is -1.5.  For two lines to be parallel they must have the same slope so our line will also have a slope of -1.5 so we have:

y=-1.5x+b, now we can solve for b given the point (0,0)

0=-1.5(0)+b

0=0+b

b=0 so our line is:

y=-1.5x</span>
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