# How do you write an equation of a line given no slope, (-3, 3/4)?

Apr 14, 2017

See the entire solution process below:

#### Explanation:

If no slope is given we can let the slope = $m$.

Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

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

Substituting the values from the point in the problem and letting the slope equal $m$ the equation is:

$\left(y - \textcolor{red}{\frac{3}{4}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{- 3}\right)$

$\left(y - \textcolor{red}{\frac{3}{4}}\right) = \textcolor{b l u e}{m} \left(x + \textcolor{red}{3}\right)$