Problem

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. $\frac{2}{3}$

Solution

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: \(\boxed{-\frac{2}{3}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16646/

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