Question

Choose the system of equations which matches the following graph:

x − 2y = 8
2x + 4y = 12


x − 2y = 8
2x − 4y = 12


x + 2y = 8
2x + 4y = 12


x + 2y = 8
2x − 4y = 12

Answer 1

Blue:

y-intercept: (0, 4)

a slope: m = -1/2

The equation: y = -1/2x + 4 |·2

2y = -x + 8 |+x

x + 2y = 8

Red:

y-intercept: (0, 3)

the slope: m = -1/2

The equation: y = -1/2x + 3 |·2

2y = -x + 6 |+x

x + 2y = 6 |·2

2x + 4y = 12

Answer:

x + 2y = 8

2x + 4y = 12