What is the X intercept of Y + 12=3(x-9)? Substitute 0 for X or y? And solve for ??? X or y?

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Answer 1 · 2018-06-28T13:39:47

#(13,0)#

The #x# intercept is the point in which the line intersects the #x# axis.

Every point belonging to the #x# axis has coordinates #(x,0)#, i.e. any value for the #x# coordinate, but the #y# coordinate is always zero.

And this is the key for finding it: you must set #y=0#, and solve for #x#. In this case, it means

#12=3(x-9)#

divide both sides by #3#:

#4=x-9#

add #9# to both sides:

#x=13#

So, the #x# intercept is the point #(13,0)#