Question

fill in the blank 6 points
what is one endpoint coordinate of this line? (
type your answer... -3
what is the other endpoint coordinate of this line? (
1 -4
what is the coordinate of the midpoint? (
-1 -1.5

Explanation:

Step1: Identify the mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).

Step2: Analyze the given values

We are given one endpoint \((1,-4)\) and mid - point \((-1,-1.5)\). Let the other endpoint be \((x,y)\).
For the \(x\) - coordinate: \(\frac{1 + x}{2}=-1\). Solving for \(x\): \(1+x=-2\), so \(x=-3\).
For the \(y\) - coordinate: \(\frac{-4 + y}{2}=-1.5\). Solving for \(y\): \(-4 + y=-3\), so \(y = 1\).

Answer:

One endpoint coordinate is \((-3,1)\) and the other is \((1,-4)\)