Question

Which explains why this system has no solution?

A. Each has a slope of –3 and a y-intercept of –1, which makes the lines parallel.
B. Each has a slope of –3 and a y-intercept of –1, which makes the lines equivalent.
C. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines parallel.
D. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines equivalent.

Answer 1

Your Answer is C

Explanation:

Parallel lines will have no solution, since they share no points. To be parallel, they will have the same slope and different intercepts.

Answer 2

C. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines parallel.

Explanation:

Parallel lines will have no solution, since they share no points. To be parallel, they will have the same slope and different intercepts.

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If the intercepts and slopes are the same, the lines are identical and there will be an infinite number of solutions.