Answer:Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
Step-by-step explanation:
|-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
The line passes through the points (-3,-5) and (9,-5)
That is, [tex]x_1=-3, y_1=-5, x_2=9, y_2=-5[/tex]
Since [tex]y_1=y_2=-5[/tex], the line is a horizontal line
For a horizontal line passing though the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_1)[/tex], the distance(D) between the two points is given as:
[tex]D=|x_1|+|x_2|\\\\ D=|-3|+|9|[/tex]
Therefore, |-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
Learn more on distance between two points here: https://brainly.com/question/1597347
