How many solutions does this linear system have?

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Jun 14th, 2015

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y=mx + b --> slope intercept form  where slope = m    y-intercept = b

To see if a system of linear equations has a solution we should check its slope

y= -1/2x +4  ---------------1

Get second equation in slope intercept form

x+2y = -8

2y =-x -8 

y = -1/2x-8/2 

y= -1/2x-4    -----------2

In both 1 and 2 the slope is same -1/2

y-intercept is +4 for equation 1 and -4 for equation 2 

if the slope is same but the y intercept is different then the two lines are parallel  and they have no solution


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 14th, 2015

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