Question

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

Answer 1

sometimes

Answer 2

the same slope and the same y intercept meant that they r the same line so they have infinite solutions

Answer 3

thank you :-)

Answer 4

sometimes?

Answer 5

yw

Answer 6

why

Answer 7

so wait..what

Answer 8

@chmvijay

Answer 9

it isn't sometimes?

Answer 10

If the two lines have the same y-intercept, then you'll have infinitely many solutions
If they don't have the same y-intercept, then you'll get no solutions.
So this is why this statement is sometimes true.

Answer 11

but they have the same y intercept and the same slope

Answer 12

Right but since this states they HAVE the same y-intercept....it would have infinitely many solutions....so where the question asks if it has NO solutions...would be false and the answer would be C) Never If I'm not mistaken

Answer 13

yeah that makes more sense
@johnweldon1993

Answer 14

could you guys help me with one more?

Answer 15

Sure

Answer 16

Solve the following system by using graph paper or graphing technology.

3x – 2y = 7
9x – 6y = 3

What is the solution to the system?
a. No Solutions

b. Infinite Solutions

c. (3, 2)

d. (3, –2)

Answer 17

I don't have a calculator on me...but from what I can see...the lines are parallel...so No solutions looks right to me

Answer 18

If you still need help isolate y and then graph
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

Answer 19

Because when you solve for the slope...it is the same...but they have different y-intercepts...so parallel lines...which means no solutions

Answer 20

okay thanks!

Answer 21

anytime!