How do you find slope and intercepts to graph #f(x) = 3-2x#?

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Answer 1 · 2018-03-16T15:56:12

See below.

#f(x)=3-2x# is a fancy way of saying #y=3-2x#

We know that the standard form of a straight line equation is

#y=mx+c# where #m# is the gradient (slope) and #c# is the y intercept ( occurring at #(0,c)#) .

#therefore# the slope is #-2# as #m=-2#

The y intercept is at #(0,3)# as #c=3#

Now the x intercept will occur at #(x,0)#
We know that the graph will intercept the y axis at the line #y=0#.

#therefore 0=3-2x#
#=> 2x = 3#
#x=3/2#

#therefore# an x intercept at #(3/2 , 0)#