Determine which lines in the diagram are parallel. A) a || b B) b || c C) a || c D) b || d

Line a and line c are parallel lines that are given as a || c. Then the correct option is C.
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Then we have
The distance between line a and line c is constant. Then line a and line c are parallel lines.
Line a || line c. Then the correct option is C.
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