Question

The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.

Always

Sometimes

Never


Always right?

Answer 1

y = mx + c

Answer 2

@Lena772, you have to test it out

Answer 3

Trial and error is key here

Answer 4

yup !
fix m and y intercept and see wat different equations u can get, or if u get any

Answer 5

@ganeshie8, you should clarify whether or not you're agreeing with me or if you're agreeing with @Lena772

Answer 6

oh ya, im agreeing wid Hero :)

Answer 7

If the equations have same slope 'm' then they are parallel. since they all have same y-intercept so the equations should represent a single line more specifically coincident lines...hence the system should have infinite solutions and never 'no solution'

Answer 8

For example, @Lena772 if you have a system like

x + y = 10
5x + 5y = 50

and tried to graph it, what would end up with?

No Solution
Some Solutions
Infinite Solutions

Answer 9

No solution

Answer 10

Actually...Infinite Solutions

Answer 11

The two equations look different, but they are indeed the same. the second one is a multiple of the 1st.

Answer 12

I simply took

x + y = 10

and multiplied both sides by 5

to get 5x + 5y = 50

Multiplying a linear equation in this manner does not change the slope or the y-intercept.

Answer 13

The way to "see" this is by graphing it. You should take advantage of a site like http://www.desmos.com because it enables you to graph equations quickly. You can definitely use it for graphing systems of equations to compare each equation.