How do you find the slope and intercept of #4x - y = 13#?

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Answer 1 · 2016-02-07T07:57:35

slope is #4#
#x# - intercept #(13/4,0)#
#y#- intercept #(0,-13)#

to get the slope, we need to change the equation in to the form of #y=mx+b , m = #slope

#4x-y = 13#
#y=4x-13#
#m=4#
m or slope is the coefficient of the term containing #x#

for the intercepts,

by definition #x#- intercept means the point that lies of the #x# axis
and #y#- intercept means the points on the #y# axis

so for the #x#- intercept,
just substitute #y# to #0#, then solve for x

#4x-y=13#
#4x-0=13#
#x=13/4#

#x# - intercept #(13/4,0)#

for the #y#- intercept
just substitute #x# to #0#, then solve for y
#4x-y=13#
#4(0)-y#
#y=-13#

#y#- intercept #(0,-13)#