### Home > PC > Chapter 11 > Lesson 11.1.2 > Problem11-24

11-24.

Earlier you graphed $r=\frac { 5 } { \operatorname { cos } \theta + \operatorname { sin } \theta }$, which gave a graph that looked like a straight line. Complete the problems below to see why this is true.

1. Explain why the equation can be rewritten as $r\cosθ + r\sinθ = 5$.

Multiply both sides of the equation by $\left(\cosθ + \sinθ\right)$.

2. Use the results of the previous problem to show that the equation in part (a) is $y = 5 − x$.

In problem 11-23 you determined that $x =$ ? and $y =$ ?