Question

1. line segment cd has endpoints at c(7, -4) and d(-5, 4).

we want to find the coordinates of point p so that p partitions cd into a ratio of 3 to 1.
a. what will the fraction \\( \frac{m}{n} \\) equal in our formula?

Explanation:

Step1: Understand the ratio concept

The ratio is given as \(3\) to \(1\). In the formula for a partition of a line - segment, if the ratio \(m:n\) is given, here \(m = 3\) and \(n=1\).

Step2: Calculate the fraction \(\frac{m}{m + n}\)

The fraction \(\frac{m}{m + n}=\frac{3}{3 + 1}=\frac{3}{4}\). But the question asks for \(\frac{m}{n}\), and since \(m = 3\) and \(n = 1\), \(\frac{m}{n}=\frac{3}{1}=3\).

Answer:

\(3\)