Respuesta :

2nd Question)

1) Considering that this is a line segment R(5,8) and P(3,6). Let's find out the distance between those points using the distance formula, derived from the Pythagorean Theorem:

[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)} \\ d=\sqrt[]{(3-5)^2+(6-8)^2} \\ d=2\sqrt[]{2}\approx2.82 \end{gathered}[/tex]

2) Let's now find the slope between those points, making use of the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-8}{3-5}=\frac{-2}{-2}=1[/tex]

The next step is to fill in the table, so:

m: 1

Parallel slopes are identical so we can state:

m = 1

Perpendicula