How do you find the slope of #5x+2y=-20#?

2 Answers
Doug2100
Mar 19, 2018

#-a/b# ,#-5/2#

Explanation:

The standard form of a line is ax+by+c=0. If you were to change this into slope-intercept form, #y=mx+b#, your m would be the slope. The change from standard to slope-intercept form is as follows.
#ax+by+c=0#
#by=-ax-c#
#y=-a/bx-c/b#
#b_"slope-intercept"=-c/b#
#m=-a/b#

This can be used to quickly find the slope or y-intercept of a line in standard form.

kiramat
Mar 19, 2018

the slope is #-5/2#

Explanation:

as, #y=mx+c#

#5x+2y=-20#
#2y=-5x-20#
#y=-5/2x-10#
compare with y=mx+c
#m=-5/2#

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