Question

7 fill in the blank 6 points what is one endpoint coordinate of this line? ( 4 2 ) what is the other endpoint coordinate of this line? ( -1 -2 ) what is the coordinate of the midpoint? ( type your answer... type your answer... )

Explanation:

Step1: Recall the mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Here \(x_1 = 4,y_1=2,x_2=-1,y_2 = - 2\).

Step2: Calculate the \(x\) - coordinate of the mid - point

For the \(x\) - coordinate, use \(\frac{x_1 + x_2}{2}\). Substitute \(x_1 = 4\) and \(x_2=-1\) into the formula: \(\frac{4+( - 1)}{2}=\frac{4 - 1}{2}=\frac{3}{2}=1.5\).

Step3: Calculate the \(y\) - coordinate of the mid - point

For the \(y\) - coordinate, use \(\frac{y_1 + y_2}{2}\). Substitute \(y_1 = 2\) and \(y_2=-2\) into the formula: \(\frac{2+( - 2)}{2}=\frac{2 - 2}{2}=0\).

Answer:

\((1.5,0)\)