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

Sep 6, 2016

$y = \frac{1}{4} \left(x - 5\right)$

#### Explanation:

The equation of a line in gradient-point form is given as:

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

Substituting the values we get:

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

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

Now, to write the equation in point-slope form we just solve for $y$:

$\implies y = \frac{1}{4} x + \frac{3}{4} - 2$

$\implies y = \frac{1}{4} x - \frac{5}{4}$

$\implies y = \frac{1}{4} \left(x - 5\right)$