Which value of m will create a system of parallel lines with no solution? y is equal to m x minus 6 8 x minus 4 y is equal to 12

Rewrite 8x − 4y = 12 as y = 2x − 3, so its slope is 2. For the lines to be parallel, the first line’s slope m must also be 2; their different y-intercepts, −6 and −3, mean they never intersect, so the system has no solution. The correct choice is 2.

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