A solution is the point where two lines intersect. If two lines are parallel, the never intersect with one another. Therefore there is no solution possible.
Final answer: No solution
Assuming scores are normally distributed, a score of 82% on Ms. Smith's test corresponds to the
-th percentile, i.e.

where
is a random variable denoting scores on Ms. Smith's test.
Transform
to
, which follows the standard normal distribution:

which means Amy scored at the 99.98th percentile.
This makes it so that Karina needs to score
on Mr. Adams' test so that

Their test scores have the same
score computed above, so

so Karina needs to get a test score of at least 83.5%.
Answer:
yes, no, yes, no
Step-by-step explanation:
For it to be a line, that means that when x goes up by 1 y goes up by the same thing every time.
7a. from (1, 12) to (2, 8), the x coordinate goes up by 1 and the y coordinate goes down by 4. From (2, 8) to (3, 4) the y coordinate again goes down by 4 when the x coordinate goes up by 1. This pattern continues for the other points, so yes.
Do the same thing for the rest and you should get:
7b. No
7c. Yes
7d. No