How do you find the slope and y intercept of 2x-5y=102x5y=10?

1 Answer
Jul 21, 2017

"slope "=2/5,"y-intercept "=-2slope =25,y-intercept =2

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+bxy=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 2x5y=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