Question

How do you find the slope and intercept of `2x - 2y + 5 = 0`?

Answer 1

To find the slope and intercept, we can convert the equation into the slope-intercept form, `y = mx+b`

Explanation:

In the slope-intercept form, `y = mx+b`, the slope is given by `m` and the intercept is given by `b`.
To convert to this form, we need to isolate `y`, as follows:

Move the terms not containing y to the other side.

`2x - 2y+5 = 0`

`-2y = -2x-5`

then isolate y by dividing both sides by `-2`

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

`y = x+2.5`

From this we can see that the slope is 1 and the intercept is 2.5.