What is the slope of the line 3x + 4y = 12?

To find the slope of the line represented by the equation 3x + 4y = 12, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope.

Here’s how to do it step by step:

1. Start with the original equation: 3x + 4y = 12.
2. Subtract 3x from both sides to isolate the y term:
3. 4y = 12 – 3x
4. Now, divide every term by 4 to solve for y:
5. y = 3 – rac{3}{4}x

Now we have the equation in slope-intercept form. From this, we can see that the slope (m) is equal to -rac{3}{4}.

Therefore, the slope of the line 3x + 4y = 12 is -rac{3}{4}.