Question

Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).

a.
(-7.7,-3)

c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)

Answer 1

Option b: (-0.3, -7)

Explanation:

If we have two points v = (x₁, y₁) and w = (x₂, y₂)

The vector that connects these two points and starts in point v, is written as:

vector = w - v = (x₁, y₁) - (x₂, y₂) = (x₂ - x₁, y₂ - y₁)

In this case, we want to find the vector that goes from (-3.7,2) to (-4, -5).

Then we will have:

vector = (-4, -5) - (-3.7,2) = (-4 - (-3.7), -5 - 2)

vector = (-0.3, -7)

Then the correct option is b.