# How do you find the slope of the line parallel to 2x - y = 16?

##### 1 Answer

Apr 24, 2017

#### Answer:

#### Explanation:

#" we need to know the following."#

#color(red)(bar(ul(|color(white)(2/2)color(black)("parallel lines have equal slopes")color(white)(2/2)|)))#

#" the equation of a line in "color(blue)"slope-intercept form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#

where m represents the slope and b, the y-intercept.

#"rearrange " 2x-y=16" into this form"#

#"subtract 2x from both sides"#

#cancel(2x)cancel(-2x)-y=16-2x#

#rArr-y=16-2x#

#"multiply all terms by - 1"#

#rArry=2x-16#

#rArr"slope "=m=2#

#"hence slope of parallel line "=2#