What is the slope-intercept form of #2x+7y=1 #?

1 Answer
Jim G.
Aug 14, 2016

#y=-2/7x+1/7#

Explanation:

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

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

To rearrange this equation into this form begin by subtracting 2x from both sides.

#cancel(2x)cancel(-2x)+7y=1-2xrArr7y=-2x+1#

divide both sides by 7

#(cancel(7)^1 y)/cancel(7)=-2/7 x+1/7#

#rArry=-2/7x+1/7" is equation in slope-intercept form"#

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