Key Concepts/Things to Remember

OBJECTIVE: Students will be able to ______the equation of a ______from two points or a table using a 3 CPC.

Key Concepts/Things to Remember

Slope-intercept Form: y = mx + b = b =
/ Example 1. Ms. Burdick’s TV is broken. She calls a repair man to come fix it. The repairman tells her for 1 hour of work he charges $45 and for 4 hours he charges $105. Determine how much it will cost if the repair only takes 3 hours. 5 hours? /

Writing equations from at least 2 points

Example 3. Write a linear equation for the line that passes through (-6, 4) and (3,-2). Use the table below to structure your work.

Example 4. Write a linear equation for the line that includes the points below and then graph it and create a situation that fits.
X / Y
2 / -6
6 / -12
10 / -18
5. The table below shows y, the altitude of an airplane in feet, after x minutes. Write the equation of the line and then describe what’s happening in the situation.

Do It Yourself My Goal: ____ / 8

1.A line passes through (4,3), (8,2) and (16, 0). Write an equation to represent this line.
2. Fill in the scenario for this situation: John starts with $____ and uses ______per day on milk. / 3.Your cell phone plan costs $23 per month plus 12 cents per minute. Write the equation of the line that models the amount you spend per month, y. / 5. Write an equation for the line that passes through (-1,-5) and (2,4).
4. Jenny rides her bike every day. She has ridden 20 miles already this month and rides another 4 each day. Write the equation for her total miles.
6.John has a tree in his backyard and he measures its diameter every other year. Below are the results. Write the equation that fits the data below:
/ 7. How big was the diameter of the tree when it was first planted? What term do we use for this information?
8. About how much does the diameter increase each month? What term do we use for this growth?
9.What is the equation for a line containing the point (4, -4) and having a slope of -2? / 10.Which of the equations below matches the equation for #8? Hint: convert them all to slope-intercept form OR convert answer to #8 to standard form.

Challenge 11. On Friday, the Woodrow Football team is play at Cowboys Stadium. Coach Estes needs to predict how much time it will take for 12,000 fans to enter. He knows that in 1 minute, 500 fans enter; in 4 minutes 2,000 entered, and after 10 minutes of the gates being opened 5,000 had entered.

Name:______Date:______Period: 1 2 3 4 5 6 7

X (number of meat patties) / Y (calories)
1 / 450
2 / 600
4 / 900
Carlos was curious about how many added calories were added to his Big Mac with each additional piece of meat. The waiter gave him this flyer and told him to “Listen in class and figure it out yourself!”
1. What’s the equation of the line?
2. What is the amount of calories for each additional meat patty? ______What is the term for this number? ______/ 4. If Carlos decided to get 8 meat patties on his Big Mac (where’s the trashcan?!), how many total calories would there be on his Big Mac?
3. If there were no meat patties on the Big Mac, how many calories would there be to start with? ______What is the term for this number? ______
/ 5. If Carlos consumes 1200 calories, how many patties did he have?

Name:______Date:______Period: 1 2 3 4 5 6 7