Question

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

Always

Sometimes

Never

Answer 1

it will have a solution

Answer 2

same slope, different y intercepts = no solutions
same slope, same y intercept = infinite solutions
so what do you think ?

Answer 3

sometimes

Answer 4

I agree....sometimes

Answer 5

thnx guys

Answer 6

no problem :) glad to help

Answer 7

Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?

6x + 12y = 13

2x + y = -6

x - 2y = 7

8x - 4y = -5
can u explain how to do this too?? its confusing

Answer 8

well....an inconsistent system would have no solutions...they do not cross.
independent system has 1 solution....so I do not understand this...

Answer 9

alright

Answer 10

@phi

Answer 11

what is a consistent tho?

Answer 12

Because in an independent system, slopes are different and in an inconsistent system. the slopes are the same.....so I am confused as well

Answer 13

dp consitents have infinity solutions?

Answer 14

consistent has at least 1 solution
inconsistent has 0 solutions (parallel line)
dependent has infinite solutions (same line)
independent has 1 solution

Answer 15

** cause an inconsistent-independent system?***

they are asking for two equations that *never intersect* i.e. no solution

that happens when they have the same slope but different y intercepts

Answer 16

but doesn't independent mean 1 solution.....the question is messing me up when it asks for inconsistent-independent

Answer 17

ok thank u @phi

Answer 18

sorry Milena.....I was confused :(

Answer 19

its alright

Answer 20

the lines are gonna be parallel...do you have the answer yet ?? or do you need help finding it ?

Answer 21

can u help me?

Answer 22

put all the equations in y = mx + b form.....now compare the slopes....you need same slopes but different y intercepts

Answer 23

ok i will od tht

Answer 24

it should be the second choice i think

Answer 25

4x + 2y = 9
2y = -4x + 9
y = -2x + 9/2 --- slope is -2 and y int is 9/2

6x + 12y = 13
12y = -6x + 13
y = - 6/12 + 13/12 -- slope is -1/2 and y int = 13/12 (nope, not this one)

2x + y = -6
y = -2x - 6 -- slope is -2 and y intercept is -6 (same slope, different y intercepts...THIS ONE

Answer 26

yes...it is second choice

Answer 27

thank u sooo much!!

Answer 28

I am glad phi came...because I thought independent meant 1 solution

Answer 29

oh yeah tht was good