Question

How do you graph `y-4x=0` by plotting points?

Answer 1

see below

Explanation:

By adding `4x` on both sides of the equation, we obtain `y=4x`. We can plot point in the `xy`-plane by choosing values of `x`.

For example, let's choose `x=-2, -1, 0, 1,`and `2` for simplicity.
When:
`x=-2`, `y=4(-2)=-8`, so the point is `(-2,-8)`.
`x=-1`, `y=4(-1)=-4`, so the point is `(-1,-4)`.
`x=0`, `y=4(0)=0`, so the point is `(0,0)`.
`x=1`, `y=4(1)=4`, so the point is `(1,4)`.
`x=2`, `y=4(2)=8`, so the point is `(2,8)`.

The graph should look something like this after you plot the points and connect the points from above.
graph{y=4x [-5, 5, -10, 10]}