Page 284 - Calculus Demystified

Chapter 1
4 − 6 −2 271
7. (a) slope = =
2 − (−5) 7
4 − 2
(b) Given line has slope = 1 hence requested line has slope −1
3 − 1
(c) Write y =−(3/2)x + 3 hence slope is −3/2
(d) Write x − 4y = 6x + 6y or y = (−1/2)x hence slope is −1/2
9 − 1 −8
(e) slope = =
(−8) − 1 9
(f) Write y = x − 4 hence slope is 1

8. (a) Slope is −3/8 hence line is y − (−9) = (−3/8) · (x − 4)
(b) Slope is 1 hence line is y − (−8) = 1 · (x − (−4))
(c) y − 6 = (−8)(x − 4)
3 − 4 1
(d) Slope is =− hence line is y − 3 = (−1/8)(x − 2)
2 − (−6) 8
(e) y = 6x
(f) Slope is −3 hence line is y − 7 = (−3)(x − (−4))
9.

y y

x
x

(a) (b)

y

y

x x

(c) (d)