5-3 Slope Intercept Form

5-3 Slope Intercept Form

<p>Slope Intercept Form Common Core Math 1</p><p>Slope Intercept Form:</p><p> d)</p><p>Ex1: Write an equation given the slope and the y-intercept.</p><p> a) Slope is 3 and y-intercept is 5</p><p> b) Slope is -2 y-intercept is -7</p><p> c) m = -3 and b = 4</p><p> d) m = 5 and b = -1</p><p>Ex2: Write an equation of a line given a graph. e) a)</p><p> f) b)</p><p>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</p><p> 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. </p><p>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.</p><p>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</p><p> 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 </p><p>Ex 4: Rewrite the following equations into slope intercept form *solve for y* Homework: Slope Intercept Form Common Core Math 1</p><p>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?</p><p>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.</p><p>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? </p><p>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</p>

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