Question

What is the distance between the two points plotted?

A graph with the x-axis starting at negative 10, with tick marks every one unit up to 10. The y-axis starts at negative 10, with tick marks every one unit up to 10. A point is plotted at negative 8, negative 4 and at 5, negative 4.

−3 units
−13 units
3 units
13 units

Answer 1

Answer: 13 units

Explanation:

To find the distance between the two points plotted, we can use the distance formula. The formula is:

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's apply this formula to the given points (-8, -4) and (5, -4):

x₁ = -8, y₁ = -4

x₂ = 5, y₂ = -4

Plugging these values into the distance formula, we get:

distance = √((5 - (-8))² + (-4 - (-4))²)

Simplifying further, we have:

distance = √((13)² + (0)²)

Since the y-coordinates are the same, the distance is equal to the absolute difference between the x-coordinates, which is 13. Therefore, the distance between the two points is 13 units.

So, the correct answer is:

13 units