How do you find the slope of 7x+2y=6?

1 Answer
Jim G.
Feb 5, 2017

#"slope "=-7/2#

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 "7x+2y=6" into this form"#

subtract 7x from both sides of the equation.

#cancel(7x)cancel(-7x)+2y=6-7x=-7x+6#

#rArr2y=-7x+6#

divide ALL terms on both side by 2

#(cancel(2) y)/cancel(2)=(-7)/2x+6/2#

#rArry=-7/2x+3larr" in form y =mx +b"#

#rArr"slope "=m=-7/2#

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