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

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).

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>