Math 021 Test 2 Review Sheet - 2012 Page 10

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MATH 021
Test 2 Review Sheet
09/12
15. The slope tells you the steepness and direction of
26. a.
the line.
16.
17. Yes, a horizontal line has a slope. The slope of
any horizontal line is zero. This is because the
difference in y-values (the numerator in the
equation for #16) is zero.
18. No, a vertical line does not have a slope. We say
the slope of any vertical line is undefined, or we
say there is no slope. This is because the
difference in x-values (the denominator in the
b.
equation for #16) is zero. Recall that division by
zero is undefined.
19. The slope is positive if the line is rising (from
left to right).
20. The slope is negative if the line is falling (from
left to right).
21. a.
, rising
b.
, horizontal
c.
no slope, vertical
d.
, falling
22. m = $0.07/min
27. x-intercept:
23. An x-intercept is a point where the graph crosses
y-intercept:
the x-axis. To find the x-intercept from an
equation, you let
and solve for x.
28. a.
;
24. An y-intercept is a point where the graph crosses
b.
;
the y-axis. To find the y-intercept from an
c.
;
; y-intercept
equation, you let
and solve for y.
d.
;
; x-intercept
25. a.
x-intercept:
y-intercept:
29. a.
If the company does not sell any CDs, then
b. x-intercept:
it will have a loss of $3000.
b.
. If the company sells about 158
y-intercept:
CDs, then it will not have a profit or loss.
The company will break even.
30.
; m is the slope; b is the y-intercept.
31. a.
;
;
b.
;
;
10

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