NAME:
REGULAR QUIZ #3
MATH 084.09
11 / 6 / 2012
Draw graphs and/or sketches for any problem that you get stuck on.
1. Use a table of (at least 3) ordered pairs to graph the equation 5x − 2y= 18.
2. Rewrite the equation 10y − 5 = 5(x + 9)
(a) in standard form (Ax + By = C)
(b) in slope-intercept form (y = mx + b)
3. (a) Find the slope of the line through (5,−8) and (2,10).
(b) What is the slope of a line perpendicular to this line?
4. At noon it starts raining. At 2pm a rain gauge measures 1 inch. At 6pm the rain gauge
measures 3 inches. What is the average rate of change (in inches per hour) of the rain level
from 2pm to 6pm?
5. What is the equation of the line through (4,9) and (8,11) in slope-intercept form?
6. The equation of a line is y = 2x. Write the equation of a line parallel to this line and
passing through the point (5,1).
7. Write the equation of a line through the point (-3,6) that is
(a) parallel to the line y = 3
(b) perpendicular to the line y = 3
8. Consider the following data:
(for the temperature of
Lake Michigan)
Years after 1990 Degrees above normal
4
0.2
6
0.4
8
0.75
10
1.0
(a) Graph this data (use x for years, y for degrees).
(b) Draw a visual "best fit" line through this data.
(c) Use the best fit line to estimate degrees above normal in 2010 (20 years after 1990).
9. Graph the inequality y <= ─ (1/2) x + 3 (Hint: First graph the boundary line).
10. Graph the inequality y > −2 .