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

Jan 12, 2016

To find the slope and intercept, we can convert the equation into the slope-intercept form, $y = m x + b$

#### Explanation:

In the slope-intercept form, $y = m x + b$, 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.

$2 x - 2 y + 5 = 0$

$- 2 y = - 2 x - 5$

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

$y = - \frac{2}{-} 2 x - \frac{5}{-} 2$

$y = x + 2.5$

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