Question

How do you find the slope for `5x-2y = 10`?

Answer 1

To find the slope, rearrange into the standard form `y=mx+c` where `m` is the slope and `c` the intercept as follows:

First add `2y` to both sides to get:

`5x=10+2y`

Next subtract `10` from both sides to get:

`5x-10=2y`

Now divide both sides by 2 to get:

`(5/2)x-5 = y`

In other words: `y = (5/2)x-5`.

Comparing with `y=mx+c`, the slope `m` is `5/2 = 2.5` (and the intercept `c` is `-5`).