How do you find the slope and the y-intercept of the line #-4x+2y=-2#?
1 Answer
Jan 12, 2017
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#