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If a system of 2 linear equations in 2 variables has NO solution, and 1 of the equations is graphed in the (x, y) coordinate plane below, which of the following could be the equation of the other line?
  • a)
    y = −2
  • b)
  • c)
    y = −2x − 4
  • d)
  • e)
    y = 4x − 4
Correct answer is option 'D'. Can you explain this answer?
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If a system of 2 linear equations in 2 variables has NO solution, and ...
In order for a system of 2 linear equations to have no solutions, the graphs of the equations must be parallel. Parallel lines have the same slope. To find the equation whose graph is parallel to the line in the figure, you must find the slope of the line between the points (0, −4) and (3, −0). Since slope is rise/run the slope is 4/3. The only equation with the correct slope of 
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If a system of 2 linear equations in 2 variables has NO solution, and ...
In order for a system of 2 linear equations to have no solutions, the graphs of the equations must be parallel. Parallel lines have the same slope. To find the equation whose graph is parallel to the line in the figure, you must find the slope of the line between the points (0, −4) and (3, −0). Since slope is rise/run the slope is 4/3. The only equation with the correct slope of 
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If a system of 2 linear equations in 2 variables has NO solution, and ...
In order for a system of 2 linear equations to have no solutions, the graphs of the equations must be parallel. Parallel lines have the same slope. To find the equation whose graph is parallel to the line in the figure, you must find the slope of the line between the points (0, −4) and (3, −0). Since slope is rise/run the slope is 4/3. The only equation with the correct slope of 
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If a system of 2 linear equations in 2 variables has NO solution, and 1 of the equations is graphed in the (x, y) coordinate plane below, which of the following could be the equation of the other line?a)y = −2b)c)y = −2x − 4d)e)y = 4x − 4Correct answer is option 'D'. Can you explain this answer?
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