Question

How do you find the slope and intercept of `5-1/5y=10x`?

Answer 1

The slope, `m`, is `-50`.
The y-intercept, `b`, is `25`.
The x-intercept=`1/2`

Explanation:

The formula for the slope-intercept form of a linear equation is `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`5-1/5y=10x`

In order to find the slope and y-intercept for the above formula, solve for `y`.

Subtract `5` from both sides.

`-1/5y=10x-5`

Simplify `-1/5y` to `(-1y)/5`.

`(-1y)/5=10x-5`

Multiply both sides by `5`.

`-y=(10x*5)-(5*5)`

Simplify.

`-y=50x-25`

Multiply both sides by `-1`.

`y=-50x+25`

`m=-50`
`b=25`

If you wish to find the x-intercept also, substitute `0` for `y` and solve for `x`.

`y=-50x+25`

`0=-50x+25`

Add `50x` to both sides.

`50x=25`

Divide both sides by `50`.

`x=25/50`

Simplify.

`x=1/2`