Tyra moves from a small town to the city. The population of the city is 6 x 105 which is about 15 times as great as the population of the small town. Which expression could represent the population of the small town? Hours(x) Miles (y) Minutes(x) 6 Miles (y) 15 25 50 60 10 20 24 x The y-intercept -1 is the y value 0 when x = 0 1 2 y -9 -4 1 6 x 3 7 0 -2 5 3 y 4 2 -1 2 0 3 Input output in (x) Out(y) Input output in (x) Out(y) Describe the Solution of the System of linear Equations in the Graph. Y 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 1 2 3 4 5 X 6 x + y = 13 2x + 4y = 40 x + y = 18 5x + 1y = 62 x = -8 x = -5 x = -1 x=2 x=7 x=9 Equation: ___________ x y y = -9 y = -5 y = -2 y=1 y=6 y=8 Equation: ___________ x y y = -x - 9 y=x+5 y = -2x - 8 y = 2x - 7 y = -1/3x -8 y = 4x + 8 y = 2x + 18 y = -1/4x + 5 y = 1/4x -8 y = -2x y = 1/2x - 8 y = -x + 12 Equation: ___________ x y Equation: ___________ x y x=2 6 Y 6 5 5 4 4 3 3 2 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 Y 1 2 3 4 5 X 6 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 1 2 3 4 5 X 6 6 Y 5 4 3 2 x+y=4 x y 0 0 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 1 2 3 4 5 X 6 Sketch the graphs of the linear system on a 𝑥+𝑦 =6 coordinate plane: . 𝑦 = 3𝑥 − 2 6 Y 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 1 2 3 4 5 X 6 9 Y 8 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 1 2 3 4 5 X 6 x 0 1 2 3 4 5 y x y 0 1 2 3 4 5 Two cars drive from town A to town B at constant speeds. The blue car travels 𝟐𝟓 miles per hour, and the red car travels 𝟔𝟎 miles per hour. The blue car leaves at 9:30 a.m., and the red car leaves at noon. The distance between the two towns is 𝟏𝟓𝟎 miles y 4100 3500 2900 2300 1700 1100 500 0 1 2 3 4 5 6 7 8 9 x y 30 24 20 16 12 8 4 0 1 2 3 4 5 6 7 8 9 x Which of these is the graph of a linear equation? 35 30 25 20 15 10 5 0 1 2 3 4 5 6 Books Price 3 $15 6 $30 9 $45 12 $60 15 $75 Find the equation of the line passing through the point (3, 1) and having a slope, m = 2 x y Find the equation of the line passing through the point (-1, 5) and having a slope, m = 3 # of cars sold Weekly Salary earned 0 $500 1 $1,100 2 $1,700 3 $2,300 70 30 25 20 15 10 5 0 1 2 3 4 5 6 7 6 Y 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 Standard form -2 -3 -4 -5 1 2 3 4 5 6X The ratio of the vertical and the horizontal distance between 2 on the line 6 Y 1 2 5 1 4 The y-intercept is the point at which the line is passing through the y-axis 2 3 1 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 2 1 2 3 4 5 6X 6 Y 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 1 2 3 4 5 6 X 6 Y 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 1 2 3 4 5 6 X P(3, 6) 6 5 Slope/rate of change P2 – R2 6 – 3 m = P –R = 3–2 1 1 -6 4 R(2, 3) 3 2 1 -5 -4 -3 -2 -1 0 -1 1 (1, 0) 2 3 -2 (0, -3) -3 4 -5 4 5 6 7 x y -2 -1 0 1 1 4 7 10 m= Slope/rate of change (-2, 1) (-1, 4) (0, 7) (1,10) y2 – x2 x2 – x1 $16 left Original amount($)