Activity on Parallel and Perpendicular Lines
1. Find the equation of the line parallel to y = 3x – 10 that goes through the point (9, 9).
2. Find the equation of the line parallel to y = 3x – 10 that goes through the point (-8, 4).
3. Find the equation of the line parallel to 
that goes through the
point
(15, -3).
4. Find the equation of the line parallel to y = 
that goes through the
point
(9, 2).
5. Find the equation of the line that intersects the line y = 2x – 6, but is parallel to
y = ¼ x + 5.
6. Find the equation of the line that intersects the line y = 0.10x + 20,000, but is parallel to y = 0.05x + 38,000.
7. Find the equation of the line that intersects the line y = 0.25x + 12, but is parallel to y = 0.25x + 12. (Why is there no answer to this problem?)
8. Match up the situations below which can be modeled by lines parallel to each other.
For practice write linear formulas for each situation.
a. Carl pays a base rate of $12 for his gas bill. He is also charged $0.80 per BTU of energy used.
b. Cherise takes a job paying her $40,000 with a commission of 3.5%.
c. Merrit pays $9.50 as a base rate for her gas bill and is charged $1.09 per BTU of energy used.
d. Cortez has a phone plan that charges $12.95 per month. The plan offers 2000 free long distance minutes. There is a charge of $0.80 per minute of long distance calling for excess minutes over 2000.
e. Meghan takes a job that pays her $38,000 with a commission rate of 3.5%.
f. Chuck takes a job that pays him $5,000 with a commission rate of 80%.
g. Kevi rents a moving truck for $15 a day with a charge of $1.09 per mile driven.
9. Find the equation of the line perpendicular to y = 5x + 1 that goes through the point (9, 9).
10. Find the equation of the line perpendicular to y = -8x – 10 that goes through the point
(-1, 4).
11. Find the
equation of the line parallel to 
that goes through the
point (15, -8).
12. Find the equation of a line that intersects y = 0.5x2 at x = 4, and is perpendicular to
y = x + 4.
Graph both y = 0.5x2 and the line you found on the same graph. The chart below is to help you graph.
|
X |
Y = 0.5x2 |
X |
Y = mx+b that you found |
|
-3 |
|
-3 |
|
|
-1 |
|
-1 |
|
|
0 |
|
0 |
|
|
2 |
|
2 |
|
|
4 |
|
4 |
|
|
8 |
|
8 |
|
13. Find the line perpendicular to y = x3 that goes through the point (2, 8). Your line will be perpendicular to a line with slope 12.
Graph both y = x3 and the line you found on the same graph. The chart below is to help you graph.
|
X |
Y = x3 |
X |
Y = mx+b that you found |
|
-3 |
|
-3 |
|
|
-1 |
|
-1 |
|
|
0 |
|
0 |
|
|
2 |
|
2 |
|
|
4 |
|
4 |
|
|
8 |
|
8 |
|
14. In a program to draw a map of a certain town, a road is programmed to run sw to ne according to the equation y = 0.45x – 10. There is a road perpendicular to this road that crosses through the point (0, 2). Find the equation that should be programmed for this road. What direction does this road run?