What is the slope intercept form of the line passing through #(2,-5) # with a slope of #-3/2 #?

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Answer 1 · 2018-04-09T22:05:41

#y=-3/2x-2#

Slope-Intercept form of a line: #y=mx+b# where m represents slope and b the y-intercept

#y=mx+b rarr# The slope is already given to us as #-3/2#

Our current equation is #y=-3/2x+b rarr# we do not know the y-intercept

Plug the given point # (2, -5)# in and solve:

#-5=-3/2*2+b#

#-5=-3+b#

#b=-2#

Our equation is #y=-3/2x-2#