Question

Question

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=−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

{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+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+0.75

Answer 1

To find the correct system of equations based on the graph, we need to analyze the given options and identify the slopes and y-intercepts of the lines described. Here's a breakdown of the options:

1. Option 1: \[ \begin{cases} y = -x + 2 \ y = 3x + 4 \end{cases} \]

2. Option 2: \[ \begin{cases} y = 2x - 1 \ y = 4x - 3 \end{cases} \]

3. Option 3: \[ \begin{cases} y = 2x - 1 \ y = 4x + 3 \end{cases} \]

4. Option 4: \[ \begin{cases} y = 2x - 1 \ y = 4x + 0.75 \end{cases} \]

Without the image, I can't provide a definitive answer. However, you can evaluate the equations based on the lines' slopes and intercepts in the graph you have. Look at where the lines cross the y-axis (the intercepts) and how steep they are (the slopes) to determine which set of equations matches the graph you're analyzing.

Please check the slope and intercepts of the lines on your graph, and compare them to the options to select the correct system of equations.