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klouie

So, the slope of the line described by 5x + 6y = -30 is -5/6. Hope it helps

: )

Okay, I've got a step-by-step explanation for you guys: Okay, so like we have to find the slope of the line described by the equation 5x + 6y = -30. And to do that, we need to rearrange the equation into slope-intercept form! It's y = mx + b, where "m" stands for the slope of the line.

Let's go step-by-step:

1. First, start with the given equation: 5x + 6y = -30.

2. To isolate "y," subtract 5x from both sides of the equation, like duh: 6y = -5x - 30.

3. Divide both sides of the equation by 6 to solve for "y," you know: y = (-5/6)x - 5.

That's it! Now we can see that the equation is in slope-intercept form, y = mx + b, where the coefficient of "x" is the slope. And, in this case, the slope is -5/6.

So, the slope of the line described by 5x + 6y = -30 is -5/6. Hope it helps

: )