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

1 Answer
Jun 28, 2018

See below

Explanation:

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]}