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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

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