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Parallel slopes have the same exact slope as the other parallel lines. In this case your first line is y=5x-1 this has a slope of 5. Therefore any parallel line will have a slope of 5. Its just that these parallel lines have different y-intercepts and x-intercepts.
Parallel. They both have a slope of 4.
[ y = 2x + 5 ] has a slope of 2. [ y = 2 ] is a horizontal line ... its slope is zero. Their slopes are different, so they're not parallel.
Slope = -1
If: y = 7 then there is no slope and the line will be parallel to the x axis
The slope is -1 .