Review Exercises

Answers

559.


561. a. \((2,0)\) b. \((0,-5)\) c. \((-4.0)\) d. \((0,3)\)

563. a, b

565.

\(x\) \(y\) \(x, y\)
\(0\) \(3\) \((0,3)\)
\(4\) \(1\) \((4,1)\)
\(-2\) \(4\) \((-2,4)\)






567.

\(x\) \(y\) \(x, y\)
\(0\) \(3\) \((0,3)\)
\(2\) \(0\) \((2,0)\)
\(-2\) \(6\) \((-2,6)\)






569. Answers will vary.

571. Answers will vary.

573. a. yes; yes b. yes; yes c. yes; yes d. no; no


575.


577.


579..


581.


583.


585. \((3,0),(0,3)\)

587. \((-1,0),(0,1)\)

589. \((6,0),(0,4)\)

591. \((0,0)\)

593.


595.


597.


607. \(1\)

609. \(-\frac{1}{2}\)

611. undefined

613. \(0\)

615. \(-6\)

617. \(\frac{5}{2}\)

619.

621.


625. \(\text { slope } m=-\frac{2}{3} \text { and } y \text {-intercept }(0,4)\)

627. \(\frac{5}{3} ;(0,-6)\)

629. \(\frac{4}{5} ;\left(0,-\frac{8}{5}\right)\)

631.


633.


635.horizontal line

637. intercepts

639.plotting points


641.

a. \(-$250\)

b. \($450\)

c. The slope, \(35\), means that Marjorie's weekly profit, \(P\), increases by \($35\) for each additional student lesson she teaches. The \(P\)–intercept means that when the number of lessons is \(0\), Marjorie loses \($250\).

d.

647. \(y=-5 x-3\)

649. \(y=-2 x\)

651. \(y=-3 x+5\)

653. \(y=-4\)

655. \(y=\frac{3}{5} x\)

657. \(y=-2 x-5\)

659. \(y=\frac{1}{2} x-\frac{5}{2}\)

661. \(y=2\)