# How do you write an equation of a line that goes through (10, 6) with m=0?

May 15, 2018

See a solution process below.

#### Explanation:

We can use the point-slope formula for write an equation for this line. The point-slope form of a linear equation is: $\left(y - \textcolor{b l u e}{{y}_{1}}\right) = \textcolor{red}{m} \left(x - \textcolor{b l u e}{{x}_{1}}\right)$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ is a point on the line and $\textcolor{red}{m}$ is the slope.

Substituting the values from the problem gives:

$\left(y - \textcolor{b l u e}{6}\right) = \textcolor{red}{0} \left(x - \textcolor{b l u e}{6}\right)$

$y - \textcolor{b l u e}{6} = 0$

$y - \textcolor{b l u e}{6} + 6 = 0 + 6$

$y - 0 = 6$

$y = 6$