Question

On the coordinate plane, what is the distance between the points (-4, 6) and (9, 6)?

A) 3 units
B) 5 units
C) 12 units
D) 13 units

Answer 1

The distance between the points (-4, 6) and (9, 6) on the coordinate plane is found by taking the absolute value of the difference between the x-coordinates, resulting in a distance of 13 units.

Step-by-step explanation:

To find the distance between the points (-4, 6) and (9, 6) on the coordinate plane, we can use the distance formula for points that lie on the same horizontal line (same y-coordinate), which simplifies to the absolute difference between the x-coordinates of the two points.

The distance formula is |x2 - x1| for horizontal lines.

Substituting the given coordinates:

• Let Point A = (-4, 6) and Point B = (9, 6)
• x-coordinate of Point A = -4
• x-coordinate of Point B = 9
• Distance = |9 - (-4)| = |9 + 4| = |13| = 13 units

Therefore, the distance between the two points is 13 units.