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savanahlines2
savanahlines2 savanahlines2
  • 18-05-2016
  • Mathematics
Answered

9) Which equation represents the line that passes through the point (3,4) and is parallel to the x-axis?


A x = 4

B x = 3

C y = 4

D y = 3

Verified Answer :

twvogels
twvogels twvogels
  • 18-05-2016

Since the line is parallell to the x-axis we know the slope is zero: \(m=0\)

Using the point-slope formula we can substitute know values:
\(y=mx+b\)
\(4=0(3)+b\)
\(b=4\)
\(y=0x+4\)
\(y=4\)

You could also jsut do it by inspection: since it passes through (3,4) and is horizontal it must cross at (0,4) i.e. all y=4.

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