Question

Find the length of RP given the coordinates R (5,8) and P (3,6).m:Il m:Im:RP:

Answer 1

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:

`\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}`

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

`m=(y_2-y_1)/(x_2-x_1)=(6-8)/(3-5)=(-2)/(-2)=1`

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

m: 1

Parallel slopes are identical so we can state:

║m = 1

Perpendicula