F(x)=-3x+6 graph it?

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Answer 1 · 2018-06-28T03:38:47

See below

The equation of a straight line in Slope/Intercept is: #y=mx+c#
Where #m# is the slope of the line and #c# in the #y-#intercept.

In this example: #F(x) = -3x+6#

Hence, #y =F(x), m=-3 and c=+6#

Therefore the graph of #F(x)# is a straight line with slope of #-3# and #y-#intercept #(0,6)#

Also note that the #x-#intercept occurs where #F(x)=0#

I.e. Where #-3x+6 =0 -> x=2#

Thus, to draw the graph of #F(x)# simply plot the points #(0,6)# and #(2,0)# and draw a straight between them and extend in both directions.

The graph is shown below.

graph{-3x+6 [-16.02, 16.02, -8.01, 8.01]}