# How do you write an equation in standard form given a line that passes through (-2,6), with m=0?

Apr 21, 2018

$y = 6$

#### Explanation:

Any line that has a slope of $0$ is a horizontal line; the $y$ value stays the same while the $x$ value changes.

$y = m x + b \rightarrow$ Slope-intercept form of a line where $m$ is the slope and $b$ is the y-intercept

$y = 0 x + b \rightarrow$ The slope is $0$

Plug in the point $\left(- 2 , 6\right)$

$6 = 0 \cdot - 2 + b$

$6 = 0 + b$

$b = 6$

$y = 0 x + 6 \rightarrow$ Anything multiplied by $0$ is $0$

$y = 0 + 6$

$y = 6$