# How do you write an equation of a line with a slope of 3/4 passes through (4,-6)?

Jul 19, 2016

$y = \left(\frac{3}{4}\right) x - 9$

#### Explanation:

Equation of a line with slope (3/40
$y = \frac{3 x}{4} + b$
Write that this line passing at point (4, -6):
$- 6 = \left(\frac{3}{4}\right) 4 + b = 3 + b$
b = - 6 - 3 = - 9
Answer:$y = \frac{3 x}{4} - 9$