How do you find the slope of -3x=6y-2?

2 Answers
Apr 11, 2017

general eq of a line is # y=mx+c #

Explanation:

the general equation of a line is : # y=mx+c # where m is the slope of the line .
given is the equation of line : # -3x=6y-2 #
rearrange it into the standard equation :
# -3x=6y-2#
# -3x+2=6y #
# -1/2x + 1/3 = y #
now compare this equation with the standard equation to obtain slope of line = # -1/2 #

Apr 11, 2017

#m = -1/2#

Explanation:

Rearrange the equation into slope intercept form #y = mx + b#:

#-3x = 6y - 2#

Add 2 to both sides:

#-3x + 2 = 6y#

Divide both sides by 6:

#y = -3/6x +2/6#

Simplify:

#y = -1/2 x + 1/3#

slope #= m = -1/2#