What is the slope of this line #4y+3x=-2#?

1 Answer
David Drayer · EET-AP
Jun 22, 2017

Slope equals #-3/4#

Explanation:

The slope intercept form is # y = mx + b#
Where m = the slope ( Think m for mountain slope.)

so solve the equation for y to find the value for m

# 4y + 3x = -2to# Start by # -3x# from both sides.

# 4y + 3x -3x = -3x -2# This gives

# 4y = -3x -2to# divide both sides by #4#

# (cancel4y)/cancel4 = (-3x)/4 - cancel2/(cancel(4)2)# which gives

# y = -3/4x - 1/2 #

#m = -3/4# so the slope is #-3/4#

A negative slope means the straight line of this equation is tilted downward from left to right; and this line also crosses the #y# coordinate at #y = -1/2#

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