Question

find the distance between the points
(5, 3) and (5, 8)
(-2, 3) and (8, 3)
(-3, 8) and (-3, -3)
(4, -5) and (-3, -5)
points in different quadrants:

Explanation:

Step1: Vertical points (5,3) & (5,8)

Since x-values are equal, subtract y-values:
$|8 - 3| = 5$

Step2: Horizontal points (-2,3) & (-8,3)

Since y-values are equal, subtract x-values:
$|-2 - (-8)| = |6| = 6$

Step3: Vertical points (-3,8) & (-3,-3)

Since x-values are equal, subtract y-values:
$|8 - (-3)| = |11| = 11$

Step4: Horizontal points (4,-5) & (-3,-5)

Since y-values are equal, subtract x-values:
$|4 - (-3)| = |7| = 7$

Answer:

Distance between (5, 3) and (5, 8): 5
Distance between (-2, 3) and (-8, 3): 6
Distance between (-3, 8) and (-3, -3): 11
Distance between (4, -5) and (-3, -5): 7