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 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=−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
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Answer 1

To write the system of equations for the two lines shown in the graph, we need to express both equations based on their slopes and y-intercepts. Since I cannot see the image, I will guide you on how to identify the equations based on the graphical information.

Here are the steps you should follow:

1. Identify the Slope and Y-Intercept of Each Line:

   • The slope is represented by the coefficient of x.
   • The y-intercept is the value of y when x = 0.

2. Write Down the Equations:

   • For each line, use the slope-intercept form of the equation of a line, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

3. Compare with the Options: After you have determined the equations for both lines, compare them with the given choices to find the correct system of equations.

So, please check the directions of both lines and their points of intersection on the coordinate plane to determine their equations before selecting the correct response from the options.