# How do you write the equation in point slope form given (4,3), slope -1/2?

Jul 10, 2017

$y - 3 = \left(- \frac{1}{2}\right) \left(x - 4\right)$
[some will use $y - 3 = - \frac{1}{2} x + 2$]

#### Explanation:

Point slope form is simply putting the point and slope into this formula

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

$y - 3 = \left(- \frac{1}{2}\right) \left(x - 4\right)$

to put this into slope intercept form $y = - \frac{1}{2} x + 5$

to put this into standard form $y + \frac{1}{2} x = 5$