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Mathematics 21 Online
OpenStudy (anonymous):

The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. Always Sometimes Never

OpenStudy (anonymous):

@Luigi0210 plz help

OpenStudy (anonymous):

@geerky42

geerky42 (geerky42):

Let's imagine two lines. Both have same slope, which that means?

OpenStudy (anonymous):

theyre parallel and have no solutions?

geerky42 (geerky42):

don't jump to consequence! of course both are parallel, now imagine same two line, they both also have same y-intercept, which means...?

geerky42 (geerky42):

y-intercept is where line intersects with y-axis

OpenStudy (anonymous):

they have the same equation?

geerky42 (geerky42):

yeah, because linear equation is y = mx+b where m is slope and b is y-intercept. if both line have same slope and y-intercept, which means line are both same.

OpenStudy (anonymous):

so then its always?

geerky42 (geerky42):

So they do have solution, not just one, but infinitely many solutions

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

so its never

geerky42 (geerky42):

no, question say these lines never have solution, is that always true?

geerky42 (geerky42):

yep. Never have no solution

OpenStudy (anonymous):

THANK YOU! YOURE THE BEST!

geerky42 (geerky42):

no problem, glad I helped

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