How do you determine if an objective function line is parallel to a constraint line using their slopes?
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You can determine if two lines are parallel by comparing their slopes. If their slopes are equal, the objective function line is parallel to the constraint line.
To determine if an objective function line is parallel to a constraint line, compare their slopes.
- Rewrite both equations in the form y=mx+by = mx + b.
- Identify the slope mm of each line.
- If the slopes are equal, the lines are parallel.
You can determine if they are parallel by comparing their slopes:
- If the slopes are equal, the objective function line and constraint line are parallel.
- If the slopes are different, they are not parallel.
For example, if both slopes are m=2m=2, the lines are parallel.
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