Liam and sarah have each drawn a line on the scatter plot shown below:
which line best represents the line of best fit?
line a, because it shows a positive association

line a, because it is closet to most data points

line b, because it is closest to most data points

line b, because it shows negative association

The correct answer is Line A, because it is closet to most data points.

Line A is in between most of the points and is a better line of best fit than compared with Line B.

The answer is B) Line A, because it is closet to most data points.

That is your answer because Line A is the closest to most of the data points, while Line B is more farther away. Also, the line of best fit has nothing to do with the positive or negative association.

x =1 for the first problem

and for second question

Step-by-step explanation:

Let's solve your inequality step-by-step.

|2x+5|>0.5

Solve Absolute Value.

|2x+5|>0.5

We know either2x+5>0.5or2x+5<−0.5

2x+5>0.5(Possibility 1)

2x+5−5>0.5−5(Subtract 5 from both sides)

2x>−4.5

2x2>−4.52(Divide both sides by 2)

x>−2.25

2x+5<−0.5(Possibility 2)

2x+5−5<−0.5−5(Subtract 5 from both sides)

2x<−5.5

2x2<−5.52(Divide both sides by 2)

x<−2.75

x>−2.25 or x<−2.75