and passing through (3, -1).
1. Find the equation of the line satisfying the conditions given.
a.
Parallel to and passing through (3, -1).
b.
Perpendicular to and passing through (0, -5).
2. Is the line that contains the points (4, -3) and (2, 5) parallel to the line that contains the points
(-2, -3) and (4, -1)? Explain your answer.
3. a. Without graphing, explain how to determine if two linear equations represent parallel lines.
b. Write an equation of a line, which passes
through the origin, and which is parallel to the line whose equation is
.
c. Without graphing, explain how to determine if two linear equations represent perpendicular lines.
.
4. The relationship between pizza diameter and price:
|
Pizza Diameter (inches) |
7 |
9 |
10 |
12 |
14 |
|
Price (Dollars) |
5.99 |
7.99 |
8.99 |
10.99 |
12.99 |
a. Find the equation of the line that describes the relationship between the pizza diameter and price.
b. If the diameter of the pizza is 8 inches, what is the price of the pizza? Do you think that your answer is reasonable?
c. Kathy would like a pizza with diameter 16 inches. How much would she pay for the pizza?
5. The relationship between time and the distance a car has traveled is given as
|
Time (seconds) |
10 |
20 |
30 |
40 |
50 |
|
Distance (feet) |
54 |
104 |
154 |
204 |
254 |
a. Is the car traveling at a constant speed? Explain your answer.
b. Find the speed of the car in feet per second. (Can you convert to miles per hour?)
c. Find the equation that represents the relationship between the time and the distance.
d. Find the distance the car traveled in the first minute.
e. Find the distance the car traveled in the first hour.