Explain, in complete sentences, the relationship between the equations of parallel lines.
y = mx + b → equation of the line in slope intercept form where m = slope, b=y-intercept Parallel lines have the same slope(m) and different y-intercept(b). Parallel lines do not intersect, therefore systems of equation with 2 parallel line have no solutions.
This questions talking about parallel lines on a coordinate plane) so parallel lines on a coordinate plane never intersect and stay the same distance apart from eachother. thus, they have the same slope. a parallel line has the same slope as the original line but a different y intercept so that the lines do not cross.
Parallel lines will have the same slope, make the same angles when lines interest both of them, and always stay the same distance apart from each other.
Parallel lines have the same slope(m) and different y-intercept(b). Parallel lines do not intersect, therefore systems of equation with 2 parallel line have no solutions.
That enough
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