Question

How do you graph `y+4x=1`?

Answer 1

`y+4x=1`

`y=-4x+1`

`y=-4*(-5)+1=21`
`y=-4*(-2)+1=9`
`y=-4*(0)+1=1`
`y=-4*(2)+1=-7`
`y=-4*(5)+1=-19`

We can now draw a line through the coordinates,
`(-5,21), (-2,9), (0,1), (2,-7), (5,-19)`

Explanation:

Let everything `y` should be equal to on one side. Giving,

`y=-4x+1`

From there, make a table for your calculations. One for `x` values and the other for what `y` gives after replacing the `x` values with numbers.

Since `x` can be anything, and will go on infinitely. We can make up numbers to what `x` can be at certain times. In the table above, I have chosen `x` to be `-5, -2, 0, 2, 5` and seen what happen when I replaced these numbers with `x` in `y=-4x+1`.

One calculation will for example be,
`y=-4*(-5)+1=21`
Which basically means that when `x=-5` the `y`-axis will be at `21`.

Another is ,
`y=-4*(2)+1=-7`
Which means that when we choose `x=2` we will get a point on the `y`-axis being `-7`.

This is something we can see on the graph above too. For example, when `x=0` then `y=1`.

Since this is a straight line, we would basically just need to points to draw our line between and out from. Since this line goes on to the infinite.