The straight-line distance between the points is ___ units, rounded to the nearest tenth.

Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.