how many solutions does the following equations have? y=-1/2x+2 and 3x+6y=12

Question

compassionate · Answer

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We will need to solve the second equation and put in slope-intercept form. Once we do that, we graph them. $$y = -\frac{ 1 }{ 2 }x + 2$$$$y = -\frac{ 1 }{ 2 }x - 2$$

As a rule of thumb: 

Same slope = No solutions. The lines are parallel and will never intersect. 
Same equation = Infinite solutions. The lines are the same. 

|dw:1389663894741:dw| 
These two lines will never intersect 

No solution. 

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