Linear Function Graphing Example

GeoGebra Commands & Parameters

1. Polygon(A, B, C, D) → poly1, a, b, c, d
2. Point(a) → F
3. Polygon(E, A, F, G) → poly2, e, a_1, f, g
4. Point(yAxis) → H
5. Segment(H, I) → h
6. Point(xAxis) → J
7. Segment(I, J) → i
8. Point(yAxis) → K
9. Point(yAxis) → L
10. Point(xAxis) → M
11. Vector(K, M) → v
12. LaTeX("\text{Determine values that make the equation true.}") → text1_3
13. LaTeX("\text{Given equation}") → text1_{11}
14. LaTeX("\text{Substitute \textcolor{#000099}{0} for \textcolor{#000099}{x}.}") → text1_{18}
15. LaTeX("\text{Simplify.}") → text1_{19}
16. LaTeX("\text{Given equation}") → text1_{20}
17. LaTeX("\text{Simplify.}") → text1_{22}
18. LaTeX("\text{Given equation}") → text1_{23}
19. LaTeX("\text{Simplify.}") → text1_{34}
20. LaTeX("\text{Substitute \textcolor{#000099}{10} for \textcolor{#000099}{x}.}") → text1_{26}
21. LaTeX("\text{Given equation}") → text1_{36}
22. LaTeX("\text{Simplify.}") → text1_{40}
23. LaTeX("\text{Organize these values in a table.}") → text1_6
24. LaTeX("\text{\textcolor{#000099}{x}-values in one column and \textcolor{#000099}{y}-values in the other. }") → text1_{31}
25. LaTeX("\text{Plot the ordered pairs from the table on a coordinate plane. }") → text1_{32}
26. LaTeX("\text{Plot these ordered pairs on a coordinate plane. }") → text1_{42}
27. LaTeX("\text{Label the \textcolor{#000099}{x}-axis “Number of correct questions” and the }") → text1_{43}
28. LaTeX("\text{Number of correct questions}") → text1_{45}
29. LaTeX("\text{Draw a line through the points. }") → text1_{46}
30. LaTeX("\text{through the plotted points. }") → text1_{48}
31. LaTeX("\text{ start at \textcolor{#000099}{x = 0} and end at \textcolor{#000099}{x = 25}. }") → text1_{51}
32. LaTeX((("\text{Substitute \textcolor{#000099}{" * x1_1) * "} for \textcolor{#000099}{x} and solve for \textcolor{#000099}{y}. }")) → text1_9
33. LaTeX((("\text{Substitute \textcolor{#000099}{" * x3_1) * "} for \textcolor{#000099}{x} and solve for \textcolor{#000099}{y}. }")) → text1_{27}
34. LaTeX((("\text{Substitute \textcolor{#000099}{" * x4_1) * "} for \textcolor{#000099}{x} and solve for \textcolor{#000099}{y}. }")) → text3
35. Polygon(R, S, T, U) → poly3, r, s, t, u
36. VerticalText("\text{Score}") → text10
37. Vector(K, V) → w
38. LaTeX("\text{The solutions to the linear equation are the infinite set of points on the line. }") → text11_5
39. Polygon(W, Z, A_1, B_1) → poly4, w_1, z_1, a_2, b_1
40. LaTeX("\text{x}") → text12
41. LaTeX("\text{y}") → text12_1
42. LaTeX((((("\text{\textcolor{#000099}{y =" * c1) * "x + ") * c2) * "}}")) → text1_{13}
43. LaTeX((((((("\text{\textcolor{#000099}{y = " * c1) * "(") * x1_1) * ") + ") * c2) * "}}")) → text1_{12}
44. LaTeX((("\text{\textcolor{#000099}{y = " * sol1) * "}}")) → text1_{10}
45. LaTeX((((("\text{\textcolor{#000099}{y = " * c1) * "x + ") * c2) * "}}")) → text1_{15}
46. LaTeX((((((("\text{\textcolor{#000099}{y = " * c1) * "(") * x2) * ") + ") * c2) * "}}")) → text1_{16}
47. LaTeX((("\text{\textcolor{#000099}{y = " * sol2) * "}}")) → text1_{17}
48. LaTeX((((("\text{\textcolor{#000099}{y =" * c1) * "x + ") * c2) * "}}")) → text1_{14}
49. LaTeX((((((("\text{\textcolor{#000099}{y = " * c1) * "(") * x3_1) * ") + ") * c2) * "}}")) → text1_{24}
50. LaTeX((("\text{\textcolor{#000099}{y = " * sol3) * "}}")) → text1_{25}
51. LaTeX((((("\text{\textcolor{#000099}{y =" * c1) * "x + ") * c2) * "}}")) → text1_{35}
52. LaTeX((((((("\text{\textcolor{#000099}{y = " * c1) * "(") * x4_1) * ") + ") * c2) * "}}")) → text1_{37}
53. LaTeX((("\text{\textcolor{#000099}{y = " * so4) * "}}")) → text1_{38}
54. LaTeX((((("\text{and \textcolor{#000099}{(" * x4_1) * ",") * so4) * ")}. }")) → text1_{41}
55. LaTeX((("\text{Coefficient of x:" * c1) * "}")) → text5
56. Segment(PO1, PO4) → j
57. LaTeX("\text{Substitute \textcolor{#000099}{1} for \textcolor{#000099}{x}.}") → text1_{21}
58. LaTeX("\text{Substitute \textcolor{#000099}{1} for \textcolor{#000099}{x} and solve for \textcolor{#000099}{y}. }") → text2
59. LaTeX("\text{Substitute \textcolor{#000099}{25} for \textcolor{#000099}{x}.}") → text1_{39}
60. LaTeX((("\text{Constant:" * c2) * "}")) → text5_1
61. TableText({{LaTeX["\mathbf{\;\;\;\;\;x\;\;\;\;\;}"], LaTeX[(("\text{\textcolor{#000099}{" * x1_1) * "}}")], LaTeX["\text{\textcolor{#000099}{1}}"], LaTeX[(("\text{\textcolor{#000099}{" * x3_1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * x4_1) * "}}")]}, {LaTeX["\mathbf{\;\;\;\;\;y\;\;\;\;\;}"], LaTeX[(("\text{\textcolor{#000099}{" * sol1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sol2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sol3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * so4) * "}}")]}}, "vc_|l") → text4
62. LaTeX("\text{Mr.Taggart is calculating his students’ test scores on a \textcolor{#000099}{25}-question test with}") → text1
63. LaTeX((((("\text{the equation \textcolor{#000099}{y=" * c1) * "x+") * c2) * "}, where \textcolor{#000099}{x} is the number of correct questions and}")) → text1_1
64. LaTeX("\text{\textcolor{#000099}{y} is the score. Make a table of values and create a graph of this relationship.}") → text1_2
65. LaTeX((((((("\text{points, substitute values for \textcolor{#000099}{x} and solve for \textcolor{#000099}{y}. Let’s use the values \textcolor{#000099}{" * x1_1) * ", 1, ") * x3_1) * ",} and \textcolor{#000099}{") * x4_1) * "}. }")) → text1_5
66. LaTeX("\text{To create a graph of the given equation, at least two points are needed. To find the }") → text1_4
67. LaTeX((((("\text{When \textcolor{#000099}{x = " * x1_1) * "}, \textcolor{#000099}{y = ") * sol1) * "}. }")) → text1_7
68. LaTeX((("\text{When \textcolor{#000099}{x = 1}, \textcolor{#000099}{y =" * sol2) * "}. }")) → text1_8
69. LaTeX((((("\text{When \textcolor{#000099}{x = " * x3_1) * "}, \textcolor{#000099}{y = ") * sol3) * "}. }")) → text1_{28}
70. LaTeX((((("\text{When \textcolor{#000099}{x = " * x4_1) * "}, \textcolor{#000099}{y = ") * so4) * "}. }")) → text1_{29}
71. LaTeX("\text{Create a table of the values determined in the previous step, with }") → text1_{30}
72. LaTeX((((((((((("\text{The ordered pairs from the table are \textcolor{#000099}{(" * x1_1) * ", ") * sol1) * "), (1,") * sol2) * "), (") * x3_1) * ",") * sol3) * "),} }")) → text1_{33}
73. LaTeX("\text{\textcolor{#000099}{y}-axis “Score.”}") → text1_{44}
74. LaTeX((((("\text{Since the given equation, \textcolor{#000099}{y = " * c1) * "x + ") * c2) * "}, is a linear equation, draw a line}")) → text1_{47}
75. LaTeX("\text{get from \textcolor{#000099}{0} to \textcolor{#000099}{25} answers correct. Therefore, the line must }") → text1_{50}
76. LaTeX("\text{Because there are only \textcolor{#000099}{25} questions on the test, a student could }") → text1_{49}
77. LaTeX("\text{\mathbf{quadratic\; function} a function that can be written in the form \textcolor{#000099}{f(x)=ax^2+bx+c}, }") → text11
78. LaTeX("\text{where \textcolor{#000099}{a≠0}. The graph of any quadratic function is a parabola.}") → text11_1
79. LaTeX("\text{\mathbf{linear\; equation} an equation that can be written in the form \textcolor{#000099}{ax+by=c}, }") → text11_2
80. LaTeX("\text{ in which \textcolor{#000099}{m} is the slope, \textcolor{#000099}{b} is the \textcolor{#000099}{y}-intercept, and the graph is a straight line. }") → text11_4
81. LaTeX("\text{where \textcolor{#000099}{a, \, b,} and \textcolor{#000099}{c} are rational numbers; can also be written as \textcolor{#000099}{ y=mx+b}, }") → text11_3