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

May 13, 2018

$4 y + 3 x = 0$

#### Explanation:

Using the point gradient form: $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$,

your gradient is $- \frac{3}{4}$
your point is $\left(4 , - 3\right)$

Equation:

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

$4 y + 12 = - 3 x + 12$

$4 y + 3 x = 0$