To find the slope of the equation given, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.
The equation provided is:
9x + 3y = 15
First, we’ll solve for y:
- Subtract 9x from both sides:
3y = -9x + 15
- Now, divide every term by 3 to isolate y:
y = -3x + 5
Now that we have the equation in the form y = mx + b, we can see that the slope m is -3.
In conclusion, the slope of the line represented by the equation 9x + 3y = 15 is -3.