Question

Find the midpoint between the two points \((-4,-3),(-1,-5)\)

Short answer

The midpoint of the two points (-4,-3) and (-1,-5) is (-2.5, -4).

Step-by-step solution

Identify the points

The points given in the problem are (-4,-3) and (-1,-5). Which means \(x_1=-4\), \(y_1=-3\), \(x_2=-1\) and \(y_2=-5\).

Apply the midpoint formula

Substitute the coordinates into the midpoint formula \(M=(\frac{{x_1+x_2}}{2}, \frac{{y_1+y_2}}{2})\) to get \(M=(\frac{{-4+(-1)}}{2}, \frac{{-3+(-5)}}{2})\) .

Compute the midpoint

Simplify to find the coordinates of the midpoint: \(M=(\frac{{-5}}{2}, \frac{{-8}}{2}) = (-2.5, -4)\).