Exploring the Graph of Let (a) Draw the graph for (b) Draw

Chapter 0, Problem P.4.77

(choose chapter or problem)

Exploring the Graph of \(\frac{x}{a} + \frac{y}{b} = c\), \(a\ \neq\ 0,\ b\ \neq\ 0\)

Let c = 1.

(a) Draw the graph for a = 3, b = -2.

(b) Draw the graph for a = -2, b = -3.

(c) Draw the graph for a = 5, b = 3.

(d) Use your graphs in (a), (b), (c) to conjecture what a and b represent when c = 1. Prove your conjecture.

(e) Repeat (a)-(d) for c = 2

(f) If c = -1, what do a and b represent?

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