15. What is the slope of the line with the equation $2 x+3 y+6=0$ ?
A. -6
B. -3
C. -2
D. $-\frac{2}{3}$
E. $\frac{2}{3}$

Answer

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Answer

Final Answer: $\boxed{-\frac{2}{3}}$

Steps

Step 1 ：The slope of a line in the form $ax + by + c = 0$ is $-\frac{a}{b}$.

Step 2 ：In this case, $a = 2$ and $b = 3$.

Step 3 ：So, the slope of the line is $-\frac{2}{3}$.

Step 4 ：The slope of the line is -0.6666666666666666, which is equivalent to $-\frac{2}{3}$ when expressed as a fraction.

Step 5 ：Final Answer: $\boxed{-\frac{2}{3}}$