Answer
y = 2x -11
Work Step by Step
We use the general equation of a line to find an equation for this specific line. The general equation of a line is $y - y_{1} = m(x - x_{1})$.
The line must have slope $m = 2$.
The line must also pass through the point (4, -3) which are our $x_{1}$ and $y_{1}$.
Putting this information into the general equation of a line, we get
$y + 3 = 2(x - 4)$.
We distribute $2$ to get
$y + 3 = 2x -8$
Then, we subtract 3 from each side to get
$y= 2x -11$
