Question

EXTRASe SimsTM 2ExtrasFind the exact distance between the points P1 and P2, and the coordinates of the midpoint of the line segment with endpoints P1 and P2.P1(-4,-2) and P2(-9, -1)(a) the exact distance between the points P1 and P2d =(b) the coordinates of the midpoint of the line segment with endpoints P1 and P2(x, y) =(

Answer 1

Given the points P1(-4, -2) and P2(-9, -1)

(a) Distance between the points is obtained using thr formila:

`d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}`

Where:

`\begin{gathered} x_1=-4 \\ y_1=-2 \\ x_2_{}=-9 \\ y_2=-1 \end{gathered}`

So,

`\begin{gathered} d=\sqrt[]{(-1-(-2))^2+(-9-(-4))^2} \\ \\ =\sqrt[]{(-1+2))^2+(-9+4))^2} \\ \\ \\ =\sqrt[]{(1)^2+(-5)^2} \\ \\ =\sqrt[]{1+25} \\ \\ =\sqrt[]{26} \end{gathered}`

(b) The coordinate of the midpoint is given by the formula: