# How do you write an equation of a line through (-2,5) and parallel to 2y=4x-6?

Nov 17, 2016

#### Explanation:

Write the equation of the new line as:

$y = 2 x + b$

Substitute -2 for x and 5 for y:

$\left(5\right) = 2 \left(- 2\right) + b$

Solve for b:

$b = 9$

The equation of the line that is parallel to $2 y = 4 x - 6$ and goes through the point $\left(- 2 , 5\right)$ is:

$y = 2 x + 9$