// Numbas version: exam_results_page_options
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Part of HELM Book 2.5.1.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>State the gradients of the following lines:</p>", "advice": "<p>When the line is written in the form $y=ax+b$, the constant $a$ is the gradient.</p>", "rulesets": {}, "extensions": ["jsxgraph"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"diagram1": {"name": "diagram1", "group": "Ungrouped variables", "definition": "jessiecode(\n  250,250,[-0.5,29, 6,-2],\n  \"\"\"\n    A= point(0,3) <<label:<<visible: false >> >>;\n    B=point(5,23) <<label:<<visible: false >> >>;\n  \n    side_a = line(A,B);\n    \n    x=text(5.7,-1,\"x\"); // no idea how to get axis labels otherwise...\n    y=text(-0.3,28,\"y\");\n  \n  \"\"\",\n  [\n    \"axis\": true\n  ]\n)", "description": "", "templateType": "anything", "can_override": false}, "diagram2": {"name": "diagram2", "group": "Ungrouped variables", "definition": "jessiecode(\n  250,250,[-3,15, 3,-10],\n  \"\"\"\n    A= point(0,-3) <<label:<<visible: false >>,color:\"black\" >>;\n    B=point(2,5) <<label:<<visible: false >>,color:\"black\" >>;\n    line1 = line(A,B) <<color: \"black\">>;\n    \n    C= point(0,0) <<label:<<visible: false >>,color:\"blue\" >>;\n    D=point(2,8) <<label:<<visible: false >>,color:\"blue\" >>;\n    line1 = line(C,D) <<color: \"blue\">>;\n    \n    E= point(0,5) <<label:<<visible: false >>,color:\"red\" >>;\n    F=point(2,13) <<label:<<visible: false >>,color:\"red\" >>;\n    line1 = line(E,F) <<color: \"red\">>;\n    \n    x=text(2.7,-2,\"x\"); // no idea how to get axis labels otherwise...\n    y=text(-0.4,14,\"y\");\n  \n  \"\"\",\n  [\n    \"axis\": true\n  ]\n)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "[random(1..9),\n  random(1..9),\n  1/random(2..9),\n  1/random(2..9),\n  random(1..9),\n  random(1..9),\n  random(-9..9 except 0)\n  ]", "description": "<p>constants for task 2</p>", "templateType": "anything", "can_override": false}, "diagram3": {"name": "diagram3", "group": "Ungrouped variables", "definition": "jessiecode(\n  250,250,[-3,15, 3,-10],\n  \"\"\"\n    A= point(0,3) <<visible:false, label:<<visible: false >>,color:\"black\" >>;\n    B=point(1,6) <<visible:false, label:<<visible: false >>,color:\"black\" >>;\n    line1 = line(A,B) <<color: \"black\">>;\n    \n    C= point(0,3) <<visible:false, label:<<visible: false >>,color:\"blue\" >>;\n    D=point(1,8) <<visible:false, label:<<visible: false >>,color:\"blue\" >>;\n    line1 = line(C,D) <<color: \"blue\">>;\n    \n    E= point(0,3) <<visible:false, label:<<visible: false >>,color:\"red\" >>;\n    F=point(1,1) <<visible:false, label:<<visible: false >>,color:\"red\" >>;\n    line1 = line(E,F) <<color: \"red\">>;\n    \n    x=text(2.7,-2,\"x\"); // no idea how to get axis labels otherwise...\n    y=text(-0.4,14,\"y\");\n  \n  \"\"\",\n  [\n    \"axis\": true\n  ]\n)", "description": "<p>Diagram for Example 12</p>", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "[\n  random(2..9),\n  random(1..9),\n  1/random(2..9),\n  random(1..9),\n  random(1..9),\n  random(2..9),\n  random(1..9)\n  ]", "description": "<p>constants for task 3</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["diagram1", "diagram2", "c", "diagram3", "d"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>(a) $y=\\var{d[0]}x+\\var{d[1]},\\qquad$ gradient = [[0]]</p>\n<p>(b) $y=-\\var{expression(string(d[2]))}x+\\var{d[3]},\\qquad$ gradient = [[1]]</p>\n<p>(c) $\\displaystyle{y=\\frac{\\var{d[6]}x+\\var{d[4]}}{\\var{d[5]}}&nbsp; 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