To find slope of a line given two points
To find parallel & perpendicular slope to a line
Learning Objective
Slope – ratio of vertical change to horizontal change of a non-vertical line
Line goes through (x1, y1) & (x2, y2)
Parallel Lines – have same slope
Perpendicular Lines – slopes are opposite reciprocals◦Flip the fraction & change the sign
1. a. Find slope (3, -5) (7, -2) (x1, y1) (x2, y2)
b. What is the parallel slope?
c. What is the perpendicular slope?
Homework Log
Mon
9/21
Lesson 2 – 1
Learning Objective: To identify functions
Hw: Pg. 65 # 8 – 11, 14 – 16, 17 – 25 odd, 32 Pg.78 #10 – 16 even. Find slope, parallel slope, & perpendicular slope
Domain – set of inputs, “x”◦Independent variable
Range – set of outputs, “y”◦Dependent variable
Function – relation in which each x has exactly one y
Vertical Line Test – if a vertical line passes through more than one point of the graph, then it is NOT a function
1. What are the domain and range of the relation
Domain: {0, 4, 8, 12, 16|
Range:{5904, 7696,
8976, 9744, 10000}
2. What are the domain and range of the relation
{(-3, 14), (0, 7), (2, 0), (9, -18)}
Domain: {-3, 0, 2, 9}
Range: {-18, 0, 7, 14}
4. Is the relation a function?
{(4, -1), (8, 6), (6, 6), (4, 1), (1, -1)}
NOT a function! Each x needs to corresponds with exactly one y.
10. Tickets to a concert are $35 each plus a one-time handling fee of $2.50.
a. Write a function that models the cost of the concert tickets.
b. Evaluate the function for 6 tickets.
11. A job offers you $15 per hour with a bonus of $200.
Another job offers you $20 per hour with no bonus.
a. Which job would you choose?
b. Write a function that models each of the job offers.
11. b. Job 1:
Job 2:
c. How much does each job make for 30 hours? 40 hours? 50 hours? 30 40 50
Job 1
Job 2
11. b. Job 1:
Job 2: c. How much does each job make for 30 hours? 40 hours? 50 hours? 30 40 50
Job 1 $650 $800 $950
Job 2 $600 $800 $1,000
a. Write a function to model the cost per month of long distance cell phone calling plan. Monthly service fee: $3.12Rate: $0.18 per minute
b. Evaluate the function for 175 minutes
Ticket Out the Door
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