How do you find the slope and intercept of #2x + 3y = 6#?

1 Answer
Jim G.
May 20, 2018

#"slope "=-2/3," y-intercept "=2#

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 "2x+3y=6" into this form"#

#"subtract "2x" from both sides"#

#rArr3y=-2x+6#

#"divide all terms by 3"#

#rArry=-2/3x+2larrcolor(blue)"in slope-intercept form"#

#"with slope "=-2/3" and y-intercept "=2#

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