Algebra, NAPX-J4-CA22
Question
Phoenix drew a straight line through the points (−2, 2) and (3,0) as shown in the diagram below.
What is the gradient of the line that Phoenix drew?
Worked Solution
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| Gradient |
= runrise |
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= x2−x1y2−y1 |
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= −2−32−0 |
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= {{{correctAnswer}}} |
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
Variant 0
DifficultyLevel
680
Question
Phoenix drew a straight line through the points (−2, 2) and (3,0) as shown in the diagram below.
What is the gradient of the line that Phoenix drew?
Worked Solution
|
|
| Gradient |
= runrise |
|
|
|
= x2−x1y2−y1 |
|
|
|
= −2−32−0 |
|
|
|
= −52 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers