What is the slope and #y#-intercept of #-5x+2y=-8#?

1 Answer
Jim G.
Apr 24, 2018

#"slope "=5/2," y-intercept "=-4#

Explanation:

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

#•color(white)(x)y=mx+b#

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

#"rearrange "-5x+2y=-8" into this form"#

#"add 5x to both sides"#

#cancel(-5x)cancel(+5x)+2y=5x-8#

#rArr2y=5x-8#

#"divide all terms by 2"#

#rArry=5/2x-4larrcolor(blue)"in slope-intercept form"#

#"with slope "=5/2" and y-intercept "=-4#
graph{5/2x-4 [-10, 10, -5, 5]}

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