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The point A is shown on the coordinate plane - Junior Cycle Mathematics - Question 14 - 2014
Question 14
The point A is shown on the coordinate plane. The same scale is used on both axes. (i) Draw and label a line l₁ through A which has a slope of \( \frac{1}{2} \). (... show full transcript
Worked Solution & Example Answer:The point A is shown on the coordinate plane - Junior Cycle Mathematics - Question 14 - 2014
Step 1
Draw and label a line l₁ through A which has a slope of \( \frac{1}{2} \).
Answer
To draw the line with a slope of ( \frac{1}{2} ):
- Start at point A on the coordinate plane.
- To find another point on the line, increase the x-value by 2 units (to the right) and the y-value by 1 unit (upwards).
- Mark this new point B.
- Draw a straight line through points A and B and label it l₁.
Step 2
Draw and label a line l₂ through A which has a slope of -2.
Answer
To draw the line with a slope of -2:
- Again start at point A.
- To find point B on this line, increase the x-value by 1 unit (to the right) and decrease the y-value by 2 units (downwards).
- Mark this new point B.
- Draw a straight line through points A and B and label it l₂.