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Vikentia [17]
3 years ago
12

The graph for the equation y = negative 2 x + 1 is shown below.

Mathematics
1 answer:
Alex3 years ago
3 0

Answer:

  y = -1/2 (4 x + 2)

Step-by-step explanation:

A system of two equations with no solution will consist of equations for <em>parallel lines</em>. The line will be parallel if they have the same slope (x-coefficient) and different y-intercepts.

The given line has a slope of -2, so eliminating the last two choices.

The first two choices can be expanded to slope-intercept form:

  y = negative 2 (x minus one-half)  ⇒  y = -2x +1 . . . same as given line

  y = negative one-half (4 x + 2)  ⇒  y = -2x -1 . . . parallel line

There will be no solution if another equation is ...

  y = -1/2(4x +2)

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