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which of the following lines would be parallel to y = 2x -4. (select all that apply.

a. a line passing through points (0,6) and (2,2).

b. a line passing through points (1,10) and (0,8).

c. a line passing through points (10,1) and (8,0).

d. a line passing through points (4,2) and (8,10).

option B A line passing through points (1,10) and (0,8)

option D A line passing through points (4,2) and (8,10)

Step-by-step explanation:

we know that

If two lines are parallel , then their slopes are the same

In this problem we have

The slope is equal to

Remember that

The formula to calculate the slope between two points is equal to

Verify each case

case A) A line passing through points (0,6) and (2,2)

substitute in the formula

Compare with the slope of the given line (m=2)

therefore

This line is not parallel to the given line

case B) A line passing through points (1,10) and (0,8)

substitute in the formula

Compare with the slope of the given line (m=2)

therefore

This line is parallel to the given line

case C) A line passing through points (10,1) and (8,0)

substitute in the formula

Compare with the slope of the given line (m=2)

therefore

This line is not parallel to the given line

case D) A line passing through points (4,2) and (8,10)

substitute in the formula

Compare with the slope of the given line (m=2)

therefore

This line is parallel to the given line

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.