If two lines are parrallel do they have the same slope

Yes, any two parallel lines have the same slope.

For example, graphing out y = 2x+5 and y = 2x+7 will produce parallel lines (both lines have a slope of 2). The two lines will never cross. Algebraically we can solve this system of equations as follows:

y = 2x+5 ... start with the first equation

2x+7 = 2x+5 ... replace y with 2x+7

2x+7-2x = 2x+5-2x subtract 2x from both sides

2x-2x+7 = 2x-2x+5

0x+7 = 0x+5

0+7 = 0+5

7 = 5 ... we have a contradiction and false statement here

Because of the false equation in the last line, the original system mentioned above does not have any solutions. A solution to a system is one where the two lines cross.

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

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