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 ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

yes because they have the same amount of green and blur marbles.

step-by-step explanation: