Practice with Graphs

559.

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

563. a, b

565.

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. $y=2$