Warm Up – August 15, 2017 1. Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.

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Warm Up – August 15, 2017 1. Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies directly with x in 6x – 3 = 2y – 3. If so, what is the constant of variation? 3. Y varies directly with x, and y = 24 when x = -15. What is x when y = 16? X 2 5 10 Y 12.5 25

Homework Answers pg. 71 8. Yes, 1/3, y = 1/3x 10. No 14. No 15. No 17. yes; 6 22. 3/5 44. 4.5

During: 2‐3 Linear Functions and Slope‐Intercept Form Learning Targets: ‐ I can graph linear equations. ‐ I can write equations of lines. Key Terms: slope, linear function, linear equation, y‐intercept, x‐intercept, slope‐intercept

Key Terms: slope ‐ the ratio of the vertical change to the horizontal change. linear function ‐ a function whose graph is a line. linear equation ‐ an equation with both x and y that can be written like y = 6x ‐ 4. y‐intercept ‐ the point at which the line crosses the y‐axis. x‐intercept ‐ the point at which the line crosses the x‐axis. slope‐intercept form ‐ y = mx + b, where m is the slope of the line and (0,b) is the y‐intercept.

“I do” Finding Slope a. (-3, 7) and (-2, 4) b. (3, 1) and (-4, 1)

“You do” a. (5, 4) and (8, 1) b. (9, 3) and (9, -4)

“I do” Writing Linear Equations What is an equation of each line? m = 1/5 and the y-intercept is (0, -3) m = 6, y-intercept is (0, 5)

“You do” m = 2/3, y-intercept is (0, -6) m = -3, y-intercept is (0, 4)

“I do” Writing Equations in Slope-Intercept Form a. 5x – 4y = 16 b. 3x + 2y = 18

“You do” -7x + 5y = 35

“I do” Graphing a Linear Equation -2x + y = 1

“You do” 4x – 7y = 14

Homework Pg. 79 # 8, 12, 14, 17, 20, 22, 26, 30, 32, 51, 52, 60