Question

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

Answer 1

`"slope "=2`

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`