Use the image to answer the question.

Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.

Write the system of equations shown in the graph.

(1 point)
Responses

{y=2x+1y=4x−3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x minus 3 end layout

{y=2x−1y=4x+0.75
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 0.75 end layout

{y=2x−1y=4x+3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 3 end layout

{y=−x+2y=3x+4

1 answer

To write the system of equations shown in the graph, I need to identify the correct equations based on the intersection points and slopes of the lines.

Given the options presented, let's analyze them:

  1. {y=2x+1, y=4x−3}
  2. {y=2x−1, y=4x+0.75}
  3. {y=2x−1, y=4x+3}
  4. {y=−x+2, y=3x+4}

Without the visual graph, I cannot directly determine which equations represent the lines. However, typically you should choose equations based on the following characteristics:

  • The slope of each line, which is found in front of "x".
  • The y-intercept, which is the constant term.

If you have a description or coordinates from the graph, I can help further. However, based on the provided options, the likely candidates, assuming they fit the general format for linear equations, would be the first three.

If I were to take an educated guess without the visual aid, I would lean towards one of the equations that appear more typical, such as {y=2x−1, y=4x+3}. However, please verify this against the graph for accuracy.

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