Question

Find the midpoint between the two points \((-4,0),(-1,-5)\)

Short answer

The midpoint between the points \((-4,0)\) and \((-1,-5)\) is \((-2.5, -2.5)\).

Step-by-step solution

Identify the given points

In this problem, the given points are \((-4,0)\) and \((-1,-5)\). Thus, we have \(x_1 = -4\), \(y_1 = 0\), \(x_2 = -1\) and \(y_2 = -5\).

Apply the midpoint formula

We substitute \(x_1\), \(y_1\), \(x_2\) and \(y_2\) into the midpoint formula:\[\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\]This gives us \[\frac{-4 - 1}{2}, \frac{0 - 5}{2}\].

Calculate the midpoint

Calculating the expressions, we get the midpoint as \((-2.5, -2.5)\).