# How do you write an equation of a line that is parallel to y = 2x - 5 and passes through the point (0,-3)?

Oct 17, 2016

$y = 2 x - 3$

#### Explanation:

By looking the equation of the line
$y = 2 x - 5$
the slope is 2, any line parallel will have the slope=2
So the equation of any parallel line is $y = 2 x + c$
Putting the values of the point $\left(0 , - 3\right)$ weobtain the value of c
$- 3 = 0 + c$
so $c = - 3$
and the equation of the line is $y = 2 x - 3$