Use the image to answer the question.

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+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=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=−x+2y=3x+4
enlarged left brace start layout first row y equals negative x plus 2 second row y equals 3 x plus 4 end layout
Skip to navigation
page 12 of 12

Answer 1

To determine the correct system of equations from the graph, we need to analyze the equations of the lines that intersect.

From your choices, we have:

1. \(y = 2x - 1\) and \(y = 4x + 0.75\)
2. \(y = 2x - 1\) and \(y = 4x + 3\)
3. \(y = 2x + 1\) and \(y = 4x - 3\)
4. \(y = -x + 2\) and \(y = 3x + 4\)

However, since I cannot see the image to determine the correct equations based on the graph, I recommend looking at the slopes and y-intercepts of the lines as depicted in the graph to match them with one of the response options.

• Check where each line crosses the y-axis (the value of \(y\) when \(x = 0\)).
• Observe the slope by identifying how many units \(y\) increases for every unit \(x\) increases (rise over run).

Once you have this information, you can select the system of equations that matches the intersecting lines. If you can describe the appearance of the lines or their intersections, I can assist further!