What is the slope of the line with the equation 2x + 3y + 6 = 0?

Solution:

Given line equation 2x +3y +6 =0

We have slope-intercept equation y = mx + c where m is slope and c is intercept

So, we need to rearrange the given equation as the standard equation

⇒ 2x + 3y + 6 = 0

⇒ 3y =-2x - 6

⇒ y = (-2/3)x - 6/3

⇒ y = (-2/3)x - 2

Here, m = -2/3 and c = -2

Hence, the slope of the equation is -2/3

What is the slope of the line with the equation 2x + 3y + 6 = 0?

Summary:

The slope of the line with the equation 2x + 3y + 6 = 0 is -2/3.