What is the equation of the line with an #x#-intercept of -1 and a #y#-intercept of 2?

1 Answer
Azimet
Feb 19, 2017

#y = 2x + 2#

Explanation:

The equation of any (non-vertical) line can take the form #y = ax+b# where #a# is the slope and #b# is the #y# intercept. We know that in this case, the #y# intercept is #2#. So we can substitute #b=2#:

#y = ax + 2#. Now, to find the #x# intercept, simply put #y=0# (since every point on the #x# axis has #y=0#) and #x=-1#, since that is the given #x# intercept:

#0 = -a + 2#, so we see that #a = 2#. The equation is then:

#y = 2x + 2#

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