How do you find the slope and y intercept of 2x-5y=102x−5y=10?
1 Answer
Jul 21, 2017
Explanation:
"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.
•color(white)(x)y=mx+b∙xy=mx+b
"where m represents the slope and b the y-intercept"where m represents the slope and b the y-intercept
"rearrange "2x-5y=10" into this form"rearrange 2x−5y=10 into this form
"subtract 2x from both sides"subtract 2x from both sides
cancel(2x)cancel(-2x)-5y=10-2x
rArr-5y=-2x+10
"divide all terms by - 5"
(cancel(-5) y)/cancel(-5)=(-2)/(-5)x+10/(-5)
rArry=2/5x-2larrcolor(red)" in slope-intercept form"
rArr"slope "=2/5" y-intercept "=-2