1. Do the points in each set lie on the same line
Do the points in each set lie on the same line? Show your work to explain your answer. A(1,3), B(4,2), C(-2,4)
Question 1

2. Open-ended: Find two points that lie on a line with a slope of -3.
Question 2

3. Is it always, sometimes, or never true that an equation that is in slope-intercept form represents a direct variation? Support with an example.
Question 3

4. Write an equation of a line that passes through (-2,5)
Question 4

5. A student says the equation y = 4x + 1 can be written in standard form as 4x – y = 1. Describe and correct the student’s error.
Question 5

6. True of False: The rate of change for a vertical line is zero.
Question 6

7. Find the slope of the line that passes through each pair of points
Question 7

8. Graph the equation. x + 2y = 6
Question 8

9. Question 9 Write each equation in slope-intercept form. 6x + 9y = 27

10. Find the x- and y-intercepts of the graph of each equation.
6x + 12y = 24
−5x + 3y = −24
Question 10

11. Write an equation in point-slope form for the line that has the given slope m and that passes through the given point.
m = ¼; (0, -2)
m = -2; (0,1)
Question 11

12. Write an equation in slope-intercept form for the line that passes through the given points.
(2, 3), (1, 5)
(5, −2), ( −16, 4)
Question 12

13. Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line.
(-3, 5); y = -1/2x + 4
( −7, 3); x = 4
Question 13

14. Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the given line.
(5, −1); y = 4x − 7
(4, −2); y = 3
Question 14

15. The debate club needs $240. 00 to attend a debate tournament
The debate club needs $ to attend a debate tournament. The club decides to sell cups of iced tea and lemonade at baseball games. Iced tea will be sold for $.50 per cup and lemonade will be sold for $.80 per cup. a. Write an equation to find how many cups of each beverage must be sold to raise $ b. Graph the equation. What are the x- and y -intercepts?
Question 15

16. Question 16 Write an equation for each translation of y = |x|.
3 units up
left 2 units
Question 16

17. Question 17 Do these tables show a constant rate of change? a. b. Time
Distance 1
260 2
520 3
780 4
1040 x y -3
7.5 -1
2.5 2 -5 5
-12.5
Question 17

18. Suppose y varies directly with x and when y is 8, x is -4
Suppose y varies directly with x and when y is 8, x is -4. Write a direct variation equation that relates to x and y.
Question 18

19. What is the slope of this equation? 12x + 4y = 24?
Question 19

20. Write this equation in standard form. y = 4x – 3
Question 20

21. Does this represent a direct variation? 2x + 3y = 0 (hint: solve for y)
Question 21

22. You start a pet grooming service. You spend $30 on supplies
You start a pet grooming service. You spend $30 on supplies. You plan to charge $5 to groom each pet. Write an equation to relate you profit y to the number of pets x you groom.
Question 22

23. Question 23 Are these two lines parallel, perpendicular or neither?
a. y = 6x + 2 and 18x – 3y = 15
b y = 4x – 2 and –x + 4y = 0
Question 23

24. Answer: yes
Explanation: Graph the points on graph paper to see if it makes a line or find the slope between the points.
Sample answer: y = -3x + 1
Explanation: to make a correct answer, start with y = mx+b.
Think of a slope, a y-coordinate, and an x coordinate. In my sample, I came up with -3 for the slope, 0 for x and 1 for y. Substitute y, m and x into y = mx + b and solve for b. Then make a general equation. My equation looked like 1 = -3(0) + b.
The y-intercept is 1.
Answers

25. Sometimes true. An example is y = 6x
Sometimes true. An example is y = 6x. An example that is incorrect is y = 2x + 8.
An example is y = 3x This problem is similar Question 2. Create a slope and substitute x, y and m into y = mx + b and solve for b.
The student changed the sign on 4x and on y.
False; the slope is undefined.
Answers

26. Answers 7. m = 3 8. See next slide
9a. y = −2 3 x + 3; 9b. y = 7 3 x + 4
10a. 4; b ; -8
11a. y + 2 = 1 4 x b. y – 1 = -2x
12a. y = -2x b. y = x
13a. y = x b. x = -7
14a. y = x b. x= 4
15a. 0.5x + 0.8y = 240
15b. 480; 300
16a. y = |x| b. y = |x + 2|
17a. no b. yes
18. y = -2x
19. m = -3
20. -4x + y = -3
21. Yes
22. y = 5x – 30
23a. parallel b. neither
Answers

27. Question 8 Answer