Published on 10/17/2008

#### Activity Overview

Using multiple representations afforded by the TI-Nspire and TI-Nspire CAS, students investigate the following problem (Adapted from Philips Exeter Academy, 2007).

The equation y − 5 = m (x − 2) represents a line, no matter what value m has.

(a) What are the x- and y-intercepts of this line?

(b) For what value of m does this line form a triangle of area 36 square units with the positive x- and y-axes?

(c) Describe the areas of the first-quadrant triangles.

#### Before the Activity

You should familiarize yourself with the associated .tns file, the activity guide, and the guided inquiry questions.

#### During the Activity

This document contains the Teacher Guide and Student Questions.