Question

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

Answer 1

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]}