How do you find the slope and the y-intercept of the line #-4x+2y=-2#?

1 Answer
Jan 12, 2017

Answer:

#"slope " =2," y-intercept " =-1#

Explanation:

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.

The advantage to having the equation in this form is that m and b may be extracted 'easily'

Rearrange the given equation into this form.

add 4x to both sides.

#cancel(-4x)cancel(+4x)+2y=-2+4x#

#rArr2y=4x-2#

To obtain y as the subject, divide ALL terms on both sides by 2

#(cancel(2) y)/cancel(2)=4/2x-2/2#

#rArry=2x-1larr" in form y = mx + b"#

Extracting m and b gives.

#"slope " =m=2" and y-intercept " =b=-1#