Final answer:
The slope of the line described by the equation 5x + 6y = -300 is found by rearranging the equation to y = (-5/6)x - 50, revealing that the slope is -5/6. This indicates a negative slope, meaning the line slopes downward from left to right.
Step-by-step explanation:
To find the slope of the line described by the equation 5x + 6y = -300, the equation must first be rearranged into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. Here are the steps for finding the slope:
Isolate y: 6y = -5x - 300.
- Divide every term by 6 to solve for y: y = (-5/6)x - 50.
The coefficient of x in this final form represents the slope of the line. Therefore, the slope is -5/6, which indicates that the line has a negative slope and it will slope downward from left to right.