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Which of the lines listed below are parallel? (PICK TWO)(1 point)

Responses

y=12x−5
y is equal to 1 half x minus 5

y=−12x+6
y is equal to negative 1 half x plus 6

y=12x+3
y is equal to 1 half x plus 3

y=−2x+7

1 answer

To determine which lines are parallel, we need to compare their slopes. Lines are parallel if they have the same slope.

  1. y = 12x - 5 has a slope of 12.
  2. y = (1/2)x - 5 has a slope of 1/2.
  3. y = -12x + 6 has a slope of -12.
  4. y = (-1/2)x + 6 has a slope of -1/2.
  5. y = 12x + 3 has a slope of 12.
  6. y = (-2)x + 7 has a slope of -2.

Now let's identify lines with the same slope:

  • y = 12x - 5 and y = 12x + 3 both have a slope of 12.

Therefore, the two lines that are parallel are:

  1. y = 12x - 5
  2. y = 12x + 3