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Remember: y=mx+b What is the slope of the line defined by the following equation: y = -3x + 2 ☺ x -2 -3x -3 slope= What is the rate of change (slope) for the above data table? x y 4 1 change in x change in y 11 2 18 3 25 4 32 5 (Read slope from left to right) Positive Negative Is the slope positive or negative? What is the slope of the line segment? Look at me!!! Same line... 2/3 -3/2 -2/3 3/2 All of these lines show direct variation Direct Variation lines ALWAYS go directly through the origin ○ ○ Direct Variation? Huh? YES NO IDK Direct Variation? YES NO IDK Direct Variation, it passes through (0,0) Find k, which is (the multiplier, the slope, y/x) y=kx This IS k= 2 -2 1/2 -1/2 Calculate the slope of the line that passes through the points (1, -2) and (5, 6). (1,-2) (5,6) "Slope Superman" Calculate the slope of the line that passes through the points (1, -2) and (5, 6). "Slope Superman" (1,-2) (5,6) 6 - (-2) = 8 5 - 1 = 4 4 8 = 2 We need to solve for y and convert to ___________ This is in standard form (x and y on the same side) Calculate the slope of the following equation: point-slope form slope-intercept form uniform -2x + y = 10 Add 2x to both sides Subtract 2x from both sides subtract y from both sides divide both sides by -2 To get y alone: Calculate the slope of the following equation: -2x + y = 10 Now it's in slope-intercept form. Find slope. -2x + y = 10 y = 2x +10 +2x 1 2 2x 10 +2x Which of the graphs represents a direct variation? (A Proportional Relationship) a) c) b) d) slope= What is the rate of change for the above data table? x y 2 3 change in y change in x 4 7 (Reduce or else!!!) 11 6 15 8 19 10 The End Dye Wrecked Vary Yeah Shun m = b = y = mx + b y-intercept ? slope ? CheeZ ? Which lines have positive m values (positive slopes?) SELECT ALL 3 1 4 2 Which lineshave NEGATIVE m values(negative slopes?) SELECT ALL 3 1 4 2 Which lineshave b = 4 ? SELECT ALL 3 1 4 2 Which lineshave b = -4 ? SELECT ALL 3 1 4 2 Which lineshave negativem (slope) andb (y-intercept)values? SELECT ALL 3 1 4 2 Which lineshave anequation of y = -x - 4 SELECT ALL 3 1 4 2 Approximate these SLOPES (m) ≈ means APPROXIMATELY equal to A B C Slope ≈ -.99 ? Slope ≈.66 ? Slope ≈.01 ? Describe these SLOPES (m) A B C Negative Slope ? Positive Slope ? Zero Slope ? Which y-intercept is greatest? A B C Greatest y-Intercept ? Medium y-intercept ? Least y-intercept ? It's Over.....or is it? 2 2 ( ) 2 ? 2 -2 2 -2 4 -4 f(x) is the output of the function, shown by the curve f(x): the entire curve f(2) is the y-value of the curve when x=2 3 1 f(2) = 1 2 -2 2 -2 4 -4 f(x) is the output of the function, shown by the curve theentirecurve ? f(x): f(0) = -1 ? 3 1 f(2) = 1 ? f(2)= f(0)= f(1)= 4 when x=2, y=4 -1 2 1 4 3 y 1 2 f(x) 3 x 1 5 4 3 2 y 1 f(4)= 2 3 4 f(x)=2 ⇨ x= f(1) = 2 means when x=1, y=2 f(3) ≈ 3.5 f(x) x f(x) f(-2)= f(1)= f(-3)= Click OK f(e) = Th( ) ( )nd only increases only decreases is constant increases and decreases This graph: Number of legs increases decreases is constant increases and decreases From zero legs to two legs, this graph: Number of legs increases decreases is constant increases and decreases From two legs to three legs, this graph: Number of legs (0,2) (3,4) : 3<x<4 (4,8) : 4<x<8 On which interval does the graph NOT increase? : 0<x<2 Number of legs (creepy,cute) (kill it, creepy) (kill it, awww) (0,8) What is the range? Number of legs only increases only decreases is constant is constant and decreases This graph: 3 ≤ x ≤ 5 1< x < 3 2< x < 5 Where does this graph decrease? [1,3] [3,5] [1,5] [0,3] The domain (possible x values) of this graph is: The x axis is shaded according to the increase and decrease of the graph. The graph (the curve) is increasing when the x-axis is shaded: green ? The graph (the curve) is decreasing when the x-axis is shaded: red ? On which interval is thegraph POSITIVE? -6 ≤ x < -4 -4 < x < 1 1 < x < 6 6 < x ≤ 8 On which interval is thegraph NEGATIVE? -6 ≤ x < -4 -4 < x < 1 1 < x < 6 6 < x ≤ 8 The x axis is shaded according to the increase and decrease of the graph. The graph (the curve) is increasing from ( -1, ∞ ) ? The graph (the curve) is decreasing from ( -∞ , -1) ? THE END Video Games Actual Places
A) C(h) = 50h + 60 B) C(h) = 70h C) C(h) = 80h D) C(h) = 70h + 60 E) C(h) = 60h + 50
A) C(n) = 175n B) C(n) = 25n + 150 C) C(n) = 50n + 125 D) C(n) = 75n E) C(n) = 150n + 25 |