Based on slope, how do you know when two lines are parallel? A. The slope of one line must be equal to reciprocal of the other for the two to be parallel. B. The slope of one line must be the negative reciprocal of the other for the two to be parallel. C. The slopes of one line must equal the negative slope of the other for the two to be perpendicular. D. If the slopes are identical, as long as the intercepts are not equal, the lines are parallel.

D

Step-by-step explanation:

Parallel lines have equal slopes. This means that if any lines have the same they are parellel. The only exception is they cannot have the same intercepts, otherwise they would be the exact same line.

For example, the slopes below are parellel:

4/3 and 4/3

and the lines below are parellel:

y=1/2x+3 and y=1/2x-5

Therefore, the correct answer is D: If the slopes are identical, as long as the intercepts are not equal, the lines are parallel.

the 3rd on is correct

step-by-step explanation:

x = 3 ± √(5+y)