5-3 Slope Intercept Form
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Slope Intercept Form Common Core Math 1
Slope Intercept Form:
d)
Ex1: Write an equation given the slope and the y-intercept.
a) Slope is 3 and y-intercept is 5
b) Slope is -2 y-intercept is -7
c) m = -3 and b = 4
d) m = 5 and b = -1
Ex2: Write an equation of a line given a graph. e) a)
f) b)
Slope Intercept Word Problems: c) Slope Intercept Form Common Core Math 1 y mx b a) x 3y 9 b) 4x 6y 8 m: Slope b: y-intercept
c) 3x 2y 15 d) y 6 2(x 2) Ex3: Word Problems. For each of the following problems do the following: i. Identify/create the function rule 2 ii. Explain in a sentence what each piece of the e) y 3 (x 6) function rule means. 3 iii. Create a table of values iv. Create a Next/Now equation to represent the situation. 7 1 a) To rent a canoe you must pay an initial fee plus $10 per f) y (x 4) hour. You can model the cost of renting a canoe by the 2 2 following equation y = 10x + 25.
Ex 5: i. Rewrite the following equations into slope intercept form. b) Ms. Hernandez’s car broke down. The auto repair ii. Create a table of values shop uses the following equation as a way to charge iii. Create a Next/Now equation to represent the customers C = 50 + 25h. situation. iv. Create your own real-life situation that accurately uses the numbers in the equation.
1 a) x y 3 b) x y 4 2 1 c) A candle is 6 inches tall and burns at a rate of inch 2 per hour. 2 c) x y 1 d) y 2 3(x 1) 3 d) A computer is purchased for $1,200 and depreciates at $140 per year. Write a linear equation that represents the value , V, of the computer at the end of t years? 2 e) y 5 (x 15) 3
e) Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make hot dogs. Jim sells hot 3 1 dogs for $2 each. If he sells h hot dogs, write an equation f) y 4 x that models his profit. 5 2
Ex 4: Rewrite the following equations into slope intercept form *solve for y* Homework: Slope Intercept Form Common Core Math 1
Shayley just bought a new phone with a new minutes plan. She can calculate her phone bill using the following equation y = 0.10x + 35. What does the 0.10 represent? What does the 35 represent?
Suppose you have already saved $50 toward the cost of a new television set. You plan to save $5 more each week for the next several weeks. Write an equation for the total amount T you will have w weeks from now. Find the total amount saved after 7 weeks.
The following equation is used to determine the temperature T as the hours h go by at night T = -2h + 15. What does the -2 represent? What does the 15 represent?
To rent a bicycle it costs $20 plus $2 per hour. Write an equation to represent the cost of renting a bicycle. Slope Intercept Form Common Core Math 1