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

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

no solution

step-by-step explanation:

there is not enough information in the problem to solve.