# How do you find slope and y intercept y=5?

Dec 9, 2017

Compare with general formula for slope-intercept form and get that $m = 0$ and $b = 5$

#### Explanation:

The slope-intercept form is $y = m x + b$, where $m$ is the slope and $b$ is the $y$-intercept. Compare:

$y = m x + b$
$y = 5$

Somehow, $m x + b = 5$. However, $x$ can be any value, making it unpredictable. Therefore, we could try setting $m = 0$, and get:

$0 x + b = 5 \rightarrow b = 5$

Let's check! Comparing what we now have:

$y = 0 x + 5 = 5$

And the original:

$y = 5$

Seems just right! $m = 0$ and $b = 5$.