How do you find the slope and intercept of #3x+7y=4#?

1 Answer
Elle
Oct 31, 2015

You change the equation into slope-intercept form (#y=mx+b#).

Explanation:

#3x+7y=4#
You need to isolate the y by subtracting #3x# from each side.
#7y=4-3x#
Then, to get rid of the #7y# and make it a single #y#, you divide each side by seven.
#y=(4-3x)/7#
You divide four by seven, and three x by seven.
#y=4/7-3/7x#
Move the #4x# to have the equation in #y=mx+b# form.
#y=-3/7x+4/7#
The slope is #-3/7# and the y-intercept is #4/7#.

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