What is the slope and y-intercept of this line y = x – 3?

3 Answers
smendyka
Mar 12, 2018

See a solution process below:

Explanation:

This equation is in slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

#y = color(red)(m)x - color(blue)(3)#

#y = color(red)(1)x + color(blue)(-3)#

Therefore:

  • The slope is: #color(red)(m = 1)#

  • The #y#-intercept is: #color(blue)(b = -3)# or #(0, color(blue)(-3))#

Evan
Mar 12, 2018

slope#=1# and y-intercept#=-3#

Explanation:

The slope of a slope-intercept equation is also the coefficient of #x#,

slope#=1#

The y-intercept of a slope-intercept equation is also the constant,

y-intercept#=-3#

There you go!

maganbhai P.
Mar 12, 2018

#y=x-3=>(dy)/(dx)=#1=>slope,# m=1#
Take,#x=0=>y=0-3=>y=-3=#Y-intercept

Explanation:

If the equation of the line is #ax+by+c=0#,then,
slope of line # m=-a/b#and Y-intercept #=-c/b#
#y=x-3=>x-y-3=0=>a=1,b=-1,c=-3=>#
slope of line # m=-1/(-1)=1#
Y-intercept #=-(-3)/(-1)=-3#

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