How do you find the slope and intercept of # 4y = 8 - x#?

1 Answer
Jim G.
May 20, 2017

#"slope "=-1/4," intercept "=2#

Explanation:

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

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#
where m represents the slope and b, the y-intercept.

#"rearrange " 4y=8-x" into this form"#

#"divide ALL terms by 4"#

#(cancel(4) y)/cancel(4)=8/4-1/4 x#

#rArry=2-1/4x" or"#

#y=-1/4x+2larrcolor(red)" in slope-intercept form"#

#rArr"slope "=-1/4," y-intercept "=2#

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