# How do you write the equation of a line that passes through the point (7, -2) and has a slope of -3?

Mar 22, 2018

$y = - 3 x + 19$

#### Explanation:

We know that the equation of a line is $y = m x + c$

It is given that the slope is -3 so $m = - 3$

This gives us,

$y = - 3 x + c$

To find the value of c, we put In the point given to us.

$\left(- 2\right) = - 3 \cdot \left(7\right) + c$

$- 2 = - 21 + c$ and hence $c = 19$

This gives is the final equation as $y = - 3 x + 19$