What is the equation of the line m=6 that goes through the point (1,4)?

1 Answer
Eddie
Apr 2, 2017

#y = 6x - 2#

Explanation:

If you are using the usual form for a straight line, #color(red)(y) = color(purple)(m) color(blue)(x) + b#, then #color(purple)(m)# is the slope of that line.

And we have a point, #(1,4)#, that we can plug in.

So we can say that:

#color(red)(4) = 6(color(blue)(1)) + b implies b = -2#

Thusly:

#y = 6x - 2#

So now, the important bit , we check that conclusion.

We take the point and observe that if #x = 1#, then:

#y = 6x - 2 = 6(1) - 2 =4#.

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