# How do you write an equation of a line through: (0, -4), parallel to y=-7/3x+1?

Nov 30, 2016

#### Explanation:

Change constant term in the equation into an arbitrary constant, b:

$y = - \frac{7}{3} x + b$

Substitute the point $\left(0 , - 4\right)$ into the equation and then solve for the new value of b:

$- 4 = - \frac{7}{3} \left(0\right) + b$

$b = - 4$

The equation desired equation is:

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