Henry counted units to find the distance between two points. For which pair of points could he have done
this? Select all that apply.
A) (-3,5) and (-2,5)
B) (-3, 5) and (-9, 3). C) (5, 3) and (9. 3)
D) (5.-9) and (3, -5)
E) (2, 3) and (7,3)

He could do this with

(-3, 5) and (-2, 5) ⇒ A

(5, 3) and (9, 3) ⇒ C

(2, 3) and (7, 3) ⇒ E

Step-by-step explanation:

Henry can count units to find the distance between to points is the two points are collinear which means the line joining them is a horizontal line

The line is horizontal if the y-coordinates of are points on the line are equal, as points (x1, y) and (x2, y)

Let us use this fact to solve the question

∵ Points (-3, 5) and (-2, 5) have the same y-coordinates

∴ The points are collinear

→ Henry can count the units from -3 to -2 to find the distance

  between them

∴ He could do this with (-3, 5), and (-2, 5)

∵ Points (-3, 5) and (-9, 3) have different y-coordinates

∴ The points are not collinear

→ Henry can not count the units

∴ He could not do this with (-3, 5) and (-9, 3)

∵ Points (5, 3) and (9, 3) have the same y-coordinates

∴ The points are collinear

→ Henry can count the units from 5 to 9 to find the distance

  between them

∴ He could do this with (5, 3), and (9, 3)

∵ Points (5, -9) and (3, -5) have different y-coordinates

∴ The points are not collinear

→ Henry can not count the units

∴ He could not do this with (5, 9) and (3, -5)

∵ Points (2, 3) and (7, 3) have the same y-coordinates

∴ The points are collinear

→ Henry can count the units from 2 to 7 to find the distance

  between them

∴ He could do this with (2, 3), and (7, 3)