Question

What is the slope of the line 2x + 3y = 12?

Answer 1

Hey there,

Equation with slope is of the form-
y=mx+c

Given equation-2x+3y=12
3y=-2x+12
Dividing the equation by 3
we get y=-2x/3+12

Therefore m=-2/3

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Answer 2

Equation :- y = m x + c ; m is the slope

2x + 3y = 12

3y = 12 - 2x

y = 12/3 - 2/3x

y = 4 - 2/3 x

y = -2/3 x + 4

m =-2/3

Therefore, the slope of the line "2x + 3y = 12" is -2/3.