Question

y=3x−5, y=3x+7 Are the lines parallel, perpendicular, or neither? a. Perpendicular b. Parallel c. Neither

Answer 1

when we are looking for perpendicular and parallel lines you have to pay attention to the gradients which is m in the form of y = mx + c.

when two lines are perpendicular, multiplying their m values will give -1.

when two lines are parallel their m values will be the same.

in this case, the m values are 3 and 3, so the lines are parallel

ANSWER: B

Answer 2

The answer is:

B) Parallel

Work/explanation:

The slopes of the lines
`\bf{y=3x-5}` and
`\bf{y=3x+7}` are equal.

Now, which pair of lines has equal slopes?

• Parallel : Two lines with equal slopes
• Perpendicular : Two lines with slopes that are negative reciprocals of one another
• Neither : The lines are not related to each other and their slopes are neither equal nor negative inverses.

Since the two lines given in the problem have equal slopes, they are parallel.