What is the slope of #3x-7y=11#?

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Answer 1 · 2018-06-17T02:37:51

The slope of the line is #3/7#.

Given:

#3x-7y=11# is a linear equation in standard form:

#Ax+By=C#.

In order to determine the slope, solve for #y# to convert the equation to slope-intercept form:

#y=mx+b#,

where:

#m# is the slope and #b# is the y-intercept.

#3x-7y=11#

Subtract #3x# from both sides.

#-7y=-3x+11#

Divide both sides by #-7#.

#y=(-3)/(-7)x+11/(-7)#

#y=3/7x-11/7#

The slope of the line is #3/7#.

graph{3x-7y=11 [-10, 10, -5, 5]}