# How do you write an equation in point slope form given slope: 3/4, y intercept: -5?

Sep 6, 2016

$y = \frac{3}{4} x - 5$

#### Explanation:

Note: the y-intercept is the point (0,-5)
We use the formula:

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

$y - \left(- 5\right) = \frac{3}{4} \left(x - 0\right)$

$y + 5 = \frac{3}{4} x$y-intercept

$y = \frac{3}{4} x - 5$

This is slope-intercept form, but the given point was the y-intercept.