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Sonbull [250]
3 years ago
13

Y=3x+4 , 9x-3y=-6 do the lines intersect or are they parallel or are they perpendicular

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

Lines are parallel.

Step-by-step explanation:

The given lines are y=3x+4,\ 9x-3y=6

Rearrange the equation in the slope intercept form that is y=mx+b where m is the slope.

<em>First Line:</em>

y=3x+4

compare it with y=mx+b

slope (m_{1}) of first line =3

<em>Second Line:</em>

9x-3y=6\\9x-6=3y\\3y=9x-6

divide both by 3

y=3x-3

compare it with y=mx+b

slope (m_{2}) of second line =3

Since slope of two lines are equal

m_{1}=m_{2}=3

hence these lines are parallel.

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