Equations of Lines Assessment (V1) 2024 PDF
Document Details
Uploaded by ThrilledBiography9016
2024
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Summary
This assessment covers equations of lines, including determining linear relationships from data and graphs, finding equations from slopes and points. It also includes questions on graphing linear relationships.
Full Transcript
+-----------------------------------+-----------------------------------+ | 5. Consider the table of values | **\[2 marks\]** | | below: | | | | | |...
+-----------------------------------+-----------------------------------+ | 5. Consider the table of values | **\[2 marks\]** | | below: | | | | | | | | | | | | a. Without graphing, determine | | | if the relationship between | | | time and revenue is linear or | | | non-linear. Justify your | | | answer. | | | | | | ------------------------------- | | | ------------------------------ | | | **Time period** 1 | | | 2 3 4 5 | | | ----------------- ------------- | | | ----------- --- ---- ---- ---- | | | **Revenue** \ | | | 3 11 19 27 | | | [− 5]{.math. | | | display}\ | | | | | | ------------------------------- | | | ------------------------------ | | +===================================+===================================+ | 1. Given the following graph, | **\[2 marks\]** | | determine the equation of a | | | line. | | +-----------------------------------+-----------------------------------+ | 2. Find the equation of a line | **\[3 marks\]** | | that has a slope of | | | [ − 2]{.math.inline} and | | | goes through the point | | | [(3, −5)]{.math.inline} | | +-----------------------------------+-----------------------------------+ | 3. A line passes through the | **\[3 marks\]** | | points [(6, −5)]{.math | | |.inline} and [(9, 7)]{.math | | |.inline}. | | | | | | | | | | | | a. Find the slope of the line. | | | | | | b. Find the equation of a line | | | in point-slope form | | | ([*y* = *mx* + *b*)]{.math | | |.inline} | | +-----------------------------------+-----------------------------------+ | 4. A swimming pool is being | | | drained. The table shows the | | | volume of water, in | | | kilolitres, remaining after | | | an elapsed time, in minutes. | | | | | |  | | | | | | | | | | | | a. Graph the relationship | | | between time and volume. | | | Label your graph for full | | | marks **\[2 marks\]\ | | | ** | | | | | | b. Determine the slope and | | | equation of a line given the | | | information above **\[3 | | | marks\]** | | | | | | c. Use your graph or equation to | | | determine the volume of water | | | after 60 min **\[2 marks\]** | | +-----------------------------------+-----------------------------------+
