Need math help to solve and check slope(m)=undefined through (-8,11)

label Mathematics
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Solve and check the equation(y=mx+b) for slope(m)=undefined through (-8,11)

How do you show work on this? I know it's x=-8, but I don't know why and is checking this equation even possible? By checking I mean like putting in the point to check. My teacher needs me to show work. 

Nov 18th, 2015

Thank you for the opportunity to help you with your question!

take arbitrarily point (x,y)

m = change y over change in x

m = y-11divide by x --8

m(x + 8)  = y- 11

xm + 8m  = y - 11

y = xm + 8m + 11

y = m( x + 8) + 11

       b =11


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 18th, 2015

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