How do you find the x and y intercepts for #y=3x+1#?

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Answer 1 · 2015-11-27T21:38:29

#x# intercept is at #x=-1/3 # and #y# intercept is at #y=1#

The intercept for the y-axis has to be when #x=0#
The intercept for the x-axis has to be when #y=0#

#color(blue)("To find the y intercept")#
so substitute 0 for #x# in the equation giving:

#y=(3xx0)+1#

#y=1#

#color(blue)("To find the x intercept")#
Substitute 0 for #y# in the equation giving:

#0=3x+1#

Subtract 1 from both sides

#0-1 =3x+1-1#

#3x=-1#

Divide both sides by 3

#(3x)/3=-1/3#

#x=-1/3#