Question

How do you find the slope and intercept of `4x=y+8`?

Answer 1

slope`=4`
Y intercept`=-8`
X intercept`=2`

Explanation:

Lets change this equation into `y=mx+b` form.
In this `y=mx+b` form of the equation, `b` is your y intercept and `m` is your slope.

Step 1: Change into `y=mx+b` form by isolating `y`
`4x=y+8`
Take away `8` from both sides
`4x-8=y`

Step 2: Determine slope:
`y=4x-8`
`4` is our `m`, so that must mean the slope is `4` or `4/1`

Step 3: Determine Y intercept:
`y=4x-8`
When the line crosses the `y` axis, `x` is at zero, so we can use `x=0` to find our `y` intercept!
`y=4(0)-8`
`y=-8`

`-8` is our `y` intercept!

Step 4: Determine `x` intercept
`y=4x-8`
When the line crosses the `x` axis, `y` is zero. So we can make `y=0` in our equation!
`0=4x-8`
`8=4x`
`x=2`

`2` is our `x` intercept
Here is a picture of the graph: graph{4x=y+8 [-10, 10, -5, 5]}