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Questions and Answers
What is the formula to calculate the gradient of a straight line?
If a straight line has a gradient of 0, what does that indicate about the line?
Which of the following would result in a negative gradient?
How does the steepness of a line relate to its gradient?
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What can be inferred if two lines have the same gradient?
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Study Notes
Gradient of a Straight Line
- The gradient of a straight line is calculated using the formula: Gradient = (Change in y)/(Change in x)
- This formula represents the vertical change (rise) divided by the horizontal change (run) between any two points on the line.
Gradient of 0
- A straight line with a gradient of 0 is a horizontal line.
- This means it has no vertical change, resulting in a zero value for the numerator in the gradient formula.
Negative Gradient
- A straight line has a negative gradient when it slopes downwards from left to right.
- This means the change in y is negative (the line goes down) while the change in x is positive (the line goes to the right).
Steepness and Gradient
- The steepness of a line is directly proportional to its gradient.
- A larger absolute value of the gradient means a steeper line.
- For example, a line with a gradient of 2 is steeper than a line with a gradient of 1.
Same Gradient
- If two lines have the same gradient, they are parallel.
- This means they have the same slope and will never intersect.
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Description
Test your understanding of the gradient of a straight line with this quiz. Answer questions about gradient calculations, implications of zero gradient, negative gradients, and relationships between lines with equal gradients. Perfect for students learning about linear equations and geometry.
