Match the equation with the line from the system shown on the graph.%0D%0A%0D%0A(2 points)%0D%0APut responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.%0D%0APurple Line%0D%0ABlue Line%0D%0Ay = 3x - 4y = -3/2x - 4y = -1/2 xy = 3/2xy = 2/3x y = 2x - 4

Answer 1

The purple line corresponds to the equation:

y = 3x - 4

The blue line corresponds to the equation:

y = -3/2x - 4

Answer 2

how did you get those

Answer 3

To determine which equation corresponds to each line on the graph, we can examine the y-intercept and slope of each line.

1. Purple Line:
The purple line intersects the y-axis at y = -4. This means the y-intercept of the corresponding equation is -4. Additionally, the line appears to have a positive slope, meaning it increases as it moves from left to right. The equation that matches these observations is y = 3x - 4.

2. Blue Line:
The blue line intersects the y-axis at y = -4. This also indicates a y-intercept of -4. However, the blue line has a negative slope, decreasing as it moves from left to right. Therefore, the equation that matches these characteristics is y = -3/2x - 4.

By analyzing the y-intercepts and slopes of each line, we can match the equations to the corresponding lines on the graph.