Question

Which statement about the points (5,7) and (10,12) is true?

A. There is not enough information given
B. They show direct variation because y=x+2 and 10-5=12-7
C. The line they are on does not show direct variation
D. They show direct variation because the line they are on has a positive slope ...

Answer 1

Answer:the line they are on does not show direct variation

Explanation:

Answer 2

Answer: The answer is (B) They show direct variation because y=x+2 and 10-5=12-7.

Step-by-step explanation: We are given two points (5 7) and (10, 12) and we are to select the correct statement about the two given points.

Since we have

7 = 5 + 2 and 12 = 10 + 2, so we can directly say that the equation of the line passing through the two points will be

y = x + 2.

Since we can directly find the relation between x and y, so we can say that they show direct variation because y=x+2 and 10-5=12-7.

Thus, the correct option is (B).