Question

Find the midpoint between the two points \((-1,1),(-4,-4)\)

Short answer

The midpoint between the points (-1, 1) and (-4, -4) is (-2.5, -1.5).

Step-by-step solution

Identify the given coordinates

In this situation, the two points are (-1, 1) and (-4, -4). We denote these coordinates as (x1, y1) and (x2, y2) respectively, which gives us x1 = -1, y1 = 1, x2 = -4, and y2 = -4.

Apply the midpoint formula

The midpoint M is calculated using the formula \( M = ((x1 + x2) / 2, (y1 + y2) / 2) \). Substituting the identified coordinates gives \( M = ((-1 - 4) / 2, (1 - 4) / 2) \).

Simplify the expression

Upon carrying out the operations in the equation, we find that the midpoint M becomes \( M = (-5 / 2, -3 / 2) \). Alternative notation for this answer could be (-2.5, -1.5).