How do you find the equation, x-intercept, and the y-intercept for the line that passes through (-3,1) with a slope of zero?

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Answer 1 · 2017-07-24T10:49:21

See a solution process below:

A line with slope #0# by definition is a horizontal line.

Horizontal lines have the same value for #y# for each and every value of #x#.

Because the #y# value of the point given in the problem is #1# then the equation is:

#y = 1#

y-intercept

Because the value of the equation is the same for each and every value of #x#, when we set #x# equal to #0# to find the #y# intercept, #y = 1#

Therefore, the #y#-intercept is: #1# or #(0, 1)#

x-intercept

Because this is a horizontal line it is by definition parallel to the #x# axis. Because it is parallel to the #x# axis it never crosses the #x# axis.

Therefore the is no #x#-intercept.