Linear Equations

points Functions Tables & Graphs Misc Parallel/ Perpendicular 10

What is the slope between the points (-4, -3) and (2, 0) ? A10

What is the y-intercept for the line that passes through the points (-1, 13) and (1, 5)? A20

What is: 9 A20

What is the equation of the line passing the points (-7, -9) and (5, 3) A30

What is: y = x - 2 A30

What is the equation of the line passing the points (0, -4) and (-4, 6) A40

What is the equation of the line passing through the points (3, 1) and (9, 5)? A50

f(x) = 3x + 7 What is f(-2)? B10

What is: f(-2) = 1 f(-2) = 3(-2) + 7 f(-2) = f(-2) = 1 B10

Given the set of points {(3, 2), (5, 8), (7, 2) (5, 10)} Name one point that would have to be removed from the set in order for this to be a function? (There are two possible answers) B20

What is: (5, 8) or (5, 10) {(3, 2), (5, 8), (7, 2) (5, 10)} Functions may not have repeated x values B20

f(x) = -3x – 14 Find f(12) B30

What is: f(12) = -50 f(12) = -3(12) – 14 f(12) = -36 – 14 f(12) = -50 B30

f(x) = 4 + x g(x) = f(x) – 14 What is the value of g(10)? B40

What is: g(10) = 0 B40 f(10) = f(10) = 14 g(10) = f(10) – 14 g(10) = 0

f(x) = x g(x) = 2f(x) + 3 What is the value of g(-2)? B50

What is: g(-2) = 39 f(-2) = 12 – 3(-2) f(-2) = f(-2) = 18 g(-2) = 2f(-2) + 3 g(-2) = 2(18) + 3 g(-2) = g(-2) = 39 B50

Write an equation to represent the data in the table below: x345 y-2-3 C10

x y C10

What is the equation for the graph modeled below? C20

Write an equation to represent the data in the table below: x y C30

x y C30

x y Write an equation to represent the data in the table below: C40

x y C40

What is the equation for the graph modeled below? C50

Is the following table of data a direct variation? D10 x-201 y1680-8

What is: Yes! D10 x-201 y The data is linear, increases AND passes through the point (0,0)

Find the unknown coordinate of the point (x, 5), which lies on the line 3x + 7 = 5y D20

What is: x = 6 D20 3x + 7 = 5y (x, 5) 3x + 7 = 5(5) 3x + 7 = 25 3x = 18 X = 6

Is the following table of data a direct variation? D30 x y-2147

What is: No! D30 x y-2147 The data is NOT linear, therefore it cannot be a direct variation. Direct Variation needs to be linear AND pass through the point (0, 0)

Find the unknown coordinate of the point (6, y), which lies on the line x – 2y = 8 D40

What is: y = -1 D40 x – 2y = 8 (6, y) 6 - 2y= 8 -2y = 2 y = -1

The point (-1, 0) is on the line whose equation is y = kx + 5. What is the value of k? D50

What is: k = 5 D50 y = kx + 5 (-1,0) 0 = k(-1) = -1k 5 = k

What is the equation of a line that is parallel to y = 3x + 7 and passes through the point (1, -12)? E10

What is: y = 3x - 15 E10

What is the equation of the line that is perpendicular to y = 15 – 4x and passes through the point (-4, 15)? E20

What is the equation of a line that passes through the point (6, 16) and is parallel to the y-axis ? E30

What is: x = 6 X = 6 Vertical Line through (6, 16) E30

What is the equation of a line that passes through the point (0, 30) and is parallel to the x-axis E40

What is: y = 30 Horizontal Line through (0, 30) E40

What is the equation of the line that is perpendicular to the x-axis and passes through the point (7, 18) E50

What is: X = 7 Vertical Line through (7, 18) E50

Final Jeopardy

What is: 23 slices