# How do you write an equation of a line given slope -3/4 and passes through (-7,0)?

Mar 9, 2018

Equation is color(brown)(3x + 4y + 7 = 0

#### Explanation:

Standard form of equation given slope and coordinates of one point on the line :

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

Given : ${x}_{1} = - 7 , {y}_{1} = 0 , m = - \frac{3}{4}$

$\frac{y - 0}{- \frac{3}{4}} \cdot \left(x + 7\right)$

$y = \frac{- 3 x - 7}{4}$

$4 y = - 3 x - 7$

$3 x + 4 y + 7 = 0$