Question

The graph of a system of equations with the same slope will have no solutions.

Always

Sometimes

Never

Answer 1

@phi

Answer 2

by "system of equations" they mean the equations of 2 lines

a "solution" is when the two lines meet.

if two lines have the same slope, can they ever meet ?

Answer 3

Yes? @phi

Answer 4

It's a tricky question.

in general, lines with the same slope are parallel, so they never meet... which means no intersection point, and no solution.

However, if the lines *are the same line*, they meet everywhere. They lay on top of each other.

That can happen, in which case there are lots of solutions (every point on the line)

Answer 5

So it's always? @phi

Answer 6

The graph of a system of equations with the same slope will have no solutions. ?

I posted
1) *lines with the same slope* are parallel, so they never meet... which means no intersection point, and *no solution*.
and
2) if the lines *are the same line* (and the same line have the same slope), there are lots of solutions

Answer 7

Does that make sense? most of the time lines with the same slope do not meet, but *sometimes* they are the same line, and do meet (everywhere)

Answer 8

OKay do it sometimes? @phi