# How do you write an equation of a line with the given slope and y-intercept m=4/5 b=2?

##### 1 Answer
Mar 21, 2016

$y = \frac{4 x}{5} + 2$

#### Explanation:

Lines are written in the form $y = m x + b$, where $x$ and $y$ are points on the line, $m$ is the slope, and $b$ is the $y$-intercept. Since we're finding a general equation of the line, we don't have to touch $x$ and $y$ (which are general points).

We are told that the slope, $m$, is $\frac{4}{5}$ and the $y$-intercept, $b$, is $2$. Since lines are expressed as $y = m x + b$, we just make substitutions to get $y = \frac{4 x}{5} + 2$.