# How do you write an equation in point slope form given (1,3) m= -3/4?

Mar 1, 2016

$y - 3 = - \frac{3}{4} \left(x - 1\right)$

#### Explanation:

Point-slope form for an equation that passes through the point $\left({x}_{1} , {y}_{1}\right)$ and has a slope $m$ is:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Here, we have

${x}_{1} = 1$
${y}_{1} = 3$
$m = - \text{3/4}$

Hence the equation

$y - 3 = - \frac{3}{4} \left(x - 1\right)$