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

1 Answer
Jim G.
Jul 21, 2017

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

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m represents the slope and b the y-intercept"#

#"rearrange "2x-5y=10" into this form"#

#"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#

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