# How do you write the equation of a line given m = -7; (0, -4)?

Jul 5, 2016

$y = - 7 x - 4$

#### Explanation:

Given point$\to {P}_{1} \to \left(x , y\right) = \left(0 , - 4\right)$

Standard form equation $\to y = m x + c$
where m is given as -7

So by substitution

$\implies - 4 = \left[\left(- 7\right) \times 0\right] + c$

$c = - 4$

So the equation is $y = - 7 x - 4$