Answer:
distance = 10 units
Step-by-step explanation:
You want the distance between the two points (-9, 1) and (-3, -7).
Right triangle
The horizontal and vertical distances between the two points form the legs of a right triangle. The straight-line distance between the points is the hypotenuse of that triangle.
The leg lengths are ...
horizontal leg = difference of x-values = -3 -(-9) = 6
vertical leg = difference of y-values = 1 -(-7) = 8
Hypotenuse
The hypotenuse is found using the Pythagorean theorem:
c² = a² +b²
c² = 6² +8² = 36 +65 = 100
c = √100 = 10
The distance between the two points is 10 units.
