Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

3x + 4y = - 8

6x - 8y = 12

9x - 12y = 24

16x + 12y = - 10

3x - 4y = 8

y = mx + b; m is the slope; b is the y-intercept

-4y = - 3x + 8

y = - 3x/-4 + 8/-4

y = 3/4 x - 2

Need to check if the given choices have the same slope.

3x + 4y = - 8

4y = - 3x - 8

y = - 3/4 x - 8/4 = - 3/4 x - 2

6x - 8y = 12

-8y = - 6x + 12

y = - 6/-8 x + 12/-8

y = 3/4 x - 1 1/2

9x - 12y = 24 This equation would cause a consistent-dependent system

-12y = - 9x + 24

y = - 9/-12 x + 24/-12

y = 3/4 x - 2

16x + 12y = - 10

12y = - 16x - 10

y = - 16/12 x - 10/12

y = - 1 1/3 x - 5/6

9x - 12y = 24 is three times the given equation, therefore it will cause a consistent-dependent system with the given system.