Unit 6
Graphing
Day 1 – Graph linear equations using a table – Page 159 12-17, 24-35
Day 2 – Graph linear equation using slope and y-intercept – Worksheet 6-1
Day 3 – Graph linear equations using x- and y-intercepts – Worksheet 6-2
Day 4 – Graph & write linear inequalities – pages 337- 338 #10-20 even & 23-30
Day 5 – Distance, Midpoint, & Pyth. Theorem – worksheet 6-3
Day 6 – Review for test – worksheet 6-4
Day 7 – Test – Unit 5 test corrections
Vocabulary
Define each of the following words using your textbook or another reliable source. Write your definitions on this sheet.
x-intercept
y-intercept
Horizontal Line
Vertical Line
Ordered pair
Linear equation
Slope
Distance
Midpoint
Pythagorean theorem
Worksheet 6-1Name ______
Slope & y-intercept
Solve for y. State the slope and y-intercept, then graph the line.
1. y =2. y =
m = b =m = b =
3. y =4. y =
m = b =m = b =
5. y = 6. y =
m = b =m = b =
7. y = 8. y =
m = b =m = b =
Worksheet 6-2Name ______
X- & Y-Intercepts
Find the x and y intercepts, then graph the line.
1. 2.
x = y =x = y =
3. 4.
x = y =x = y =
5. 6.
x = y =x = y =
7. 8.
x = y =x = y =
Worksheet 6-4Name ______
Graphing reviewDate ______Period ______
Graph each of the following using a table of values.
1. 2.
Graph the following using slope and y intercept.
5. y =6. y =
m =b =m = b =
Graph the following using x- and y-intercepts.
9. 10.
x = y = x = y =
Graph the following inequalities. (Do not forget to shade.)
13. 14.
17. Jerrell traveled to the grocery store, picked up his son from soccer, and returned home. Which line segment of the graph of his trip could represent the
time spent picking up his son from soccer practice
18. The point lies on the graph f(x)=7x -3. What is the value of a?
19. Kendra will work as a lifeguard and/or camp counselor to earn at least $825 to buy a laptop. The graph shows the number of hours she must work at both jobs to earn enough money. Which of the following will NOT provide enough money to buy the laptop?
A. 25 hours as a counselor, 30 as a lifeguard
B. 100 hours as a lifeguard
C. 75 hours as lifeguard, 30 hours as counselor
D. 80 hours as lifeguard, 30 hours as counselor
20. Which equation(s) below will have graphs that are linear?
A.B.C.DE.
21. A boat leaves a shipping dock and travels 90 miles due west and then 70 miles due north. What is the closest to the straight line distance between the boat and the shipping dock?
22. If point C (-2, 4) is the midpoint of a line segment with endpoints A (-10, -5) and B. What are the coordinates of point B?
23. Billy’s coach instructed him to jog twice around the athletic field and then from point A sprint to the opposite corner on the diagonal shown below. The field is 36 yards by 20 yards. About how many yards did Billy run?
24. A circle drawn on a coordinate plane has a diameter with endpoints (5, 8) and (-6, 10). The midpoint of the diameter marks the center of the circle. What point represents the center of the circle?
25. The plans for an apartment complex were laid out on the flat quadrant of a coordinate plane. The complex will have two playgrounds. One playground is located at (6, 8) and the other is located at (15, 20). If each grid unit is equal to 75 yard, how far apart are the playgrounds?
Worksheet 6-3Name ______
Midpoint, distance
Pythagorean TheoryDate ______Period ______
Find the missing side for each of the following triangle. Show your work.
3 cm
1. 12 m 2. 6 in3.
4 cm
5 m 2 in
4. a = 165. a = 46. b = 9
b = 30 c = 5 c = 16
c = ? b = ? a = ?
19 m 5 cm14 m
7. 13 m 8. 9.
16cm
5 m
10. James is digging holes for the posts of a rectangular deck on the back of his house. The deck measures 12 ft. by 16 ft. What is the length of the diagonal across the deck?
11. Linda has a pole attached to her house for an antenna that needs a wire brace. The pole is 24 feet tall. The wire is 30 feet long. How far from the pole must the wire be attached to the house?
Find the distance between the points.
12. (2, 5), (-6, 5)13. (2, 2), (6, 5)14. (3, -1), (4, 0)
15. On a large map, one city is located at (-3, 8) and the other city is located at (5, 8). If one grid unit equals 50 miles, what is the distance between the two cities?
16. Your video game uses a coordinate grid system for location. There is an enemy ship at (7, -3). You are at (-8, -3). If one grid unit equals 10 kilometers, how far away is the enemy ship?
Find the midpoint between the two points.
17. (2, 2), (6, 4)18. (-5, -3), (7, 5)19. (-5, 9), (3, -7)
20. You are using computer software to design a video game. You want to place a buried treasure chest halfway between the palm tree (200, 75) and the large boulder (25, 175). Where should you place the treasure chest?
21. On a grid, the school is located at (-2, -3) and the mall is at (2, 3). What is halfway point on the grid?