Question

Choose the system of equations which matches the following graph:

Answer 1

Parallel lines...means ur equations will have the same slope and different y int's.

x - 2y = 8....-2y = -x + 8....y = 1/2x - 4...slope is 1/2, y int is -4
2x + 4y = 12...4y = -2x + 12....y = -1/2x + 3...slope is - 1/2, y int is 3
not this one...different slopes

x - 2y = 8...slope is 1/2, y int is -4
2x - 4y = 12...-4y = -2x + 12...y = 1/2x - 3....slope is 1/2, y int is -3
same slope, different y int's.....these are parallel lines..but this is not ur graph because the graph has a negative slope.

x + 2y = 8....2y = -x + 8....y = -1/2x + 4..slope is -1/2, y int is 4
2x + 4y = 12...4y = -2x + 12....y = -1/2x + 3...slope is -1/2, y int is 3
same slope, different y int's...parallel lines...and ur y int's match the graph...this is ur answer <===

x + 2y = 8...slope is -1/2, y int is 4
2x - 4y = 12..slope is 1/2, y int is 3
different slopes, different y int....this has 1 solution and ur lines are not parallel...not this one

therefore, ur answer is : 3rd answer choice