How do you find the x and y intercepts for #y=7x+8#?

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Answer 1 · 2018-04-26T00:09:27

#x#-intercept: #x=-8/7#
#y#-intercept: #y=8#

A graph intercepts the #y#-axis when #x=0# and the #x#-axis when #y=0#. So, we must plug in zero for both variables, respectively, and solve.

#y#-intercept (#x=0#)

#y=7(0)+8#

#color(blue)(y=8)#

#x#-intercept (#y=0#)

#0=7x+8#

#7x=-8#

#color(lime)(x=-8/7)#

Our intercepts are in blue and lime green. Hope this helps!