# What is the slope-intercept form (y=mx+b) of x-y=5?

Feb 26, 2018

$y = x - 5$

#### Explanation:

$5 = x - y$

$y + 5 = x$

$y = x - 5$

The coefficient of x is 1, thus so is the gradient. $b$, or the y intercept, is -5.

Feb 26, 2018

$y = x - 5$

#### Explanation:

$\text{rearrange "x-y=5" into slope-intercept form}$

$\text{subtract x from both sides}$

$\cancel{x} \cancel{- x} - y = 5 - x$

$\Rightarrow - y = 5 - x$

$\text{multiply all terms by } - 1$

$\Rightarrow y = - 5 + x \Rightarrow y = x - 5$