What system of equations is shown on the graph below?
x - 2y = -4 and 2x + y =4
x - 2y = 4 and 2x + y = 4
x - 2y = -2 and 2x + y = -4
x - 2y = 2 and 2x + y =4

Step-by-step explanation:

Look at the picture.

Read the coordinates of intercepts of each line.

Put them to slope-intercept form of an equation of a line:

m - slope

b - y-intercept → (0, b)

The formula of a slope:

The blue line:

(4, 0), (0, -2) → b=  -2

Substitute the values of a slope and an y-intercept to the equation of a line:

Convert to the standard form :

          multiply both sides by 2

           subtract x from both sides

          change the signs

The red line:

(-2, 0), (0, -4) → b= -4

          add 2x to both sides

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step-by-step explanation:

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