Question

How do you graph `y=9/2x-7` by plotting points?

Answer 1

Since this is a linear function, you only need two points.

Explanation:

Usually `x=0` is a good start. This will give you `(0,-7)`
The other `x` to choose better be even, to avoid fractions.
Let's take `x=4` (just a hunch). This will give you `(4,11)`
Just to make sure (and check yourself in drawing) you may choose a third point `x=-2->(-2,-16)`

Now draw a straight line through two of the points and make sure it also goes through the third:
graph{4.5x-7 [-41.1, 41.1, -20.56, 20.56]}