How do you find the slope and intercept of #–2x – 3y = 9#?

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Answer 1 · 2017-03-21T16:06:49

Slope:#-2/3#

Y-intercept: #3#

Solve for y. Add 2x on both sides:

#-2x-3y+2x=9+2x#

#-3y=9+2x#

Divide by -3 to everything:

#-3y/-3= 9/-3 + 2x/-3#

#y=(-2/3)x+3#

Now it's in the form #y=mx+b# where m is the slope and b is the y-intercept.

Slope:#-2/3#

Y-intercept: #3#