Practice Gradient (slope) Of A Line (4) - Coordinate Geometry - IB 10 Mathematics

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6 sample questions

Question 1.
What is the gradient of the line through points (2, 3) and (5, 7)?
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Use the slope formula.
Question 2.
If the gradient of a line is 0, what type of line is it?
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Consider how y changes with x!
3Question 3.
What does a gradient of 0 indicate about a line?
- It is horizontal
- It is vertical
- It is diagonal
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Consider the characteristics of a flat line.
4Question 4.
True or False: A gradient can be undefined if two points have the same x-coordinate.
- True
- False
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Think about the implications of identical x-values.
Question 5.
Two points A(2,3) and B(5,8) are connected. Find the gradient and determine if it's a positive, negative, or zero slope.
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Use the slope formula.
Question 6.
Prove whether lines with slopes 4 and -1/4 are perpendicular, and explain your reasoning.
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Consider the rule for perpendicular slopes.

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