What is the slope of the line represented by the equation #2x+8y=7#?

1 Answer
Jim G.
Nov 5, 2016

#"slope" =-1/4#

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.

The advantage to having the equation in this form is that m and b may be extracted ' easily'.

Rearrange the given equation into this form.

#2x+8y=7#

subtract 2x from both sides.

#cancel(2x)cancel(-2x)+8y=-2x+7#

#rArr8y=-2x+7#

divide all terms on both sides by 8.

#(cancel(8) y)/cancel(8)=(-2)/8x+7/8#

#rArr"slope" =-1/4#

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