What is the slope of the line with the equation \(2x + 3y + 6 = 0\)?
Answer (3)
2 x + 3 y + 6 = 0 3 y = − 2 x − 6/ : 3 y = − 3 2 x − 3 6 y = − 3 2 x − 2
A n s w er : i s yo u r s l o p e : m = − 3 2
-2/3. You take 3y and move it to the opposite side. Then you would take the three from the 3Y and divide everything by three, so you get -2/3x+2=Y then you look at what the coefficient is in front of X and X equals -2/3, which is your slope.
The slope of the line given by the equation 2 x + 3 y + 6 = 0 is − 3 2 . This indicates that, for every 3 units the line moves right, it moves 2 units down. Thus, the slope represents a negative relationship between x and y.
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