// Numbas version: exam_results_page_options {"name": "SREB Practice Writing Linear Equations v2", "timing": {"allowPause": false, "timeout": {"message": "", "action": "warn"}, "timedwarning": {"message": "", "action": "warn"}}, "duration": 5400, "showQuestionGroupNames": true, "question_groups": [{"name": "Writing and Re-writing Linear Equations", "pickQuestions": 1, "pickingStrategy": "all-ordered", "questions": [{"name": "SREB Write Linear Function given two points", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}], "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "variables": {"y1": {"templateType": "anything", "name": "y1", "description": "", "definition": "random(-10..10#0.5)", "group": "Ungrouped variables"}, "gcfABC": {"templateType": "anything", "name": "gcfABC", "description": "", "definition": "gcd(stdA+stdB,stdC)", "group": "Ungrouped variables"}, "x1": {"templateType": "anything", "name": "x1", "description": "", "definition": "random(-10..10#0.5)", "group": "Ungrouped variables"}, "x2": {"templateType": "anything", "name": "x2", "description": "", "definition": "random(-10..10#0.5 except x1)", "group": "Ungrouped variables"}, "stdB": {"templateType": "anything", "name": "stdB", "description": "", "definition": "-mFrac[1]*bFrac[1]*sign(m)", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "name": "b", "description": "", "definition": "y1-m*x1", "group": "Ungrouped variables"}, "stdA": {"templateType": "anything", "name": "stdA", "description": "", "definition": "mFrac[0]*bFrac[1]*sign(m)", "group": "Ungrouped variables"}, "y2": {"templateType": "anything", "name": "y2", "description": "", "definition": "random(-10..10#0.5)", "group": "Ungrouped variables"}, "mFrac": {"templateType": "anything", "name": "mFrac", "description": "", "definition": "rational_approximation(m)", "group": "Ungrouped variables"}, "bFrac": {"templateType": "anything", "name": "bFrac", "description": "", "definition": "rational_approximation(b)", "group": "Ungrouped variables"}, "stdC": {"templateType": "anything", "name": "stdC", "description": "", "definition": "-bFrac[0]*mFrac[1]*sign(m)", "group": "Ungrouped variables"}, "m": {"templateType": "anything", "name": "m", "description": "", "definition": "(y2-y1)/(x2-x1)", "group": "Ungrouped variables"}}, "tags": [], "functions": {}, "variable_groups": [], "statement": "

Write the equation of the line and express it in its various forms.

GIVEN: The line passes through $(\\var{x1}, \\var{y1})$ and $(\\var{x2}, \\var{y2})$

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Slope-Intercept Form: (Enter your slope and y-intercept as reduced fractions)

$f(x) = $[[0]]$x +$[[1]]

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Standard Form: (Ax + By = C where A > 0 and A,B, and C are integers)

[[0]]$x + $[[1]]$y = $[[2]]

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What is the x-intercept? (Enter your answer as a reduced fraction)

What is the y-intercept? (Enter your answer as a reduced fraction)

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Write the equation of the line and express it in its various forms.

GIVEN: The line passes through $(\\var{x1}, \\var{y1})$ and $(\\var{x2}, \\var{y2})$

Slope-Intercept Form: (Enter your slope and y-intercept as reduced fractions)

$f(x) = $[[0]]$x +$[[1]]

Standard Form: (Ax + By = C where A > 0 and A,B, and C are integers)

[[0]]$x + $[[1]]$y = $[[2]]

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What is the x-intercept? (Enter your answer as a reduced fraction)

What is the y-intercept? (Enter your answer as a reduced fraction)

Write the equation of the line and express it in its various forms.

GIVEN: The line passes through $(\\var{x1}, \\var{y1})$ and $(\\var{x2}, \\var{y2})$

Slope-Intercept Form: (Enter your slope and y-intercept as reduced fractions)

$f(x) = $[[0]]$x +$[[1]]

Standard Form: (Ax + By = C where A > 0 and A,B, and C are integers)

[[0]]$x + $[[1]]$y = $[[2]]

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What is the x-intercept? (Enter your answer as a reduced fraction)

What is the y-intercept? (Enter your answer as a reduced fraction)

Write the equation of the line that is parallel to $y =\\simplify{ {{mnum}}/{{mden}}x + {b}}$ and passes through $(\\var{xp}, \\var{yp})$.

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Write your answer iin slope-intercept form.

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Write the equation of the line that is parallel to $y =\\simplify{ {{mnum}}/{{mden}}x + {b}}$ and passes through $(\\var{xp}, \\var{yp})$.

Write your answer iin slope-intercept form.

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Write your answer iin slope-intercept form.

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Write the equation of the line that is perpendicular to $y =\\simplify{ {{mnum}}/{{mden}}x + {b}}$ and passes through $(\\var{xp}, \\var{yp})$.

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Write your answer iin slope-intercept form.

Write the equation of the line that is perpendicular to $y =\\simplify{ {{mnum}}/{{mden}}x + {b}}$ and passes through $(\\var{xp}, \\var{yp})$.

Write your answer iin slope-intercept form.

Write the equation of the line that is perpendicular to $y =\\simplify{ {{mnum}}/{{mden}}x + {b}}$ and passes through $(\\var{xp}, \\var{yp})$.

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Write the equation of the line parallel to line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

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Write your equation in slope-intercept form:

Write the equation of the line parallel to line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

Write your equation in slope-intercept form:

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Write your equation in slope-intercept form:

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Write the equation of the line perpendicular to the line given and passing through point C.

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Write your equation in slope-intercept form:

Write the equation of the line perpendicular to the line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

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Write the equation of the line parallel to line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

Write your equation in slope-intercept form:

Write the equation of the line perpendicular to the line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

Write your equation in slope-intercept form:

Write the equation of the line perpendicular to the line given and passing through point C.

{geogebra_applet('https://www.geogebra.org/m/xkvw6qtz', defs)}

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The assignment will assess your ability to write linear equations, re-write them in various forms, identify intercepts, and write the equations of parallel and perpendicular lines.

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You will have 60 minutes to complete this assignment. Please work carefully and diligently.

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