# How do you write an equation given the slope of a line and one point on the line m= -3 (1, -2)?

Jun 9, 2016

$y = m x + c \text{ "->" } y = - 3 x + 1$

#### Explanation:

Consider standard form of $y = m x + c$

We are given $m$ and also a known condition $\left(x , y\right) \to \left(1 , - 2\right)$

So by substitution we have

$y = m x + c \text{ " ->" } - 2 = \left(- 3\right) \left(1\right) + c$

$- 2 + 3 = - 3 + 3 + c$
$1 = 0 + c$
$c = 1$
$y = m x + c \text{ "->" } y = - 3 x + 1$