# How do you write an equation of a line going through (4,-3) parallel to y + 2x = 7?

The equation of line is $y = - 2 x + 5$
The slope of the line $y = - 2 x + 7$ is $- 2$. So the slope any line parallel to the above line is also $- 2$. Hence the equation of the line passing through$\left(4 , - 3\right)$ with slope of $- 2$ is $y + 3 = - 2 \left(x - 4\right) \mathmr{and} y = - 2 x + 5$[Ans]