Question

How do you graph `3x - 4y = -8`?

Answer 1

See below:

Explanation:

For graphing, I like using the slope-intercept form, where the general form is

`y=mx+b`, where `m` is the slope and `b` is the `y`-intercept.

To get there, solve for `y`:

`3x-4y=-8`

`-4y=-3x-8`

`y=3/4x+2`

We now have a form where we can pick out the `y`-intercept (the point `(0,2)`. We can use the slope to find another point to plot.

`"Slope"="rise"/"run"` and so we can add 3 to the `y` value for every 4 we add to the `x` value:

`(0+4,2+3)=(4,5)`

We now have to points so we can graph the line:

graph{((x-0)^2+(y-2)^2-.1)((x-4)^2+(y-5)^2-.1)(3x-4y+8)=0[-15,15,-7,7]}