# How do you write an equation of the line parallel to y=2x - 5 and has the y intercept (0,9)?

May 23, 2018

$y = 2 x + 9$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = 2 x - 5 \text{ is in this form}$

$\text{with slope m } = 2$

• " Parallel lines have equal slopes"

$\text{equation of a parallel line with "m=2" and } b = 9$

$y = 2 x + 9$