Question 8 of 25beginner💡 UnderstandShort Answer2 marks

In moving from A (3, 4)A\ (3,\ 4) to D (7, 1)D\ (7,\ 1), what distance has been covered along the x-axis? What about the distance along the y-axis?

Correct Answer

(Distance along x-axis) 4 units

(Distance along y-axis) 3 units

Exercise: Think and Reflect | Q: 1 | (Page 9)
For More Understanding

Explanation

To find the distance covered along each axis while moving from one point to another, we calculate the difference between their respective coordinates. The distance moved along the x-axis is determined by the difference in the x-coordinates, and the distance moved along the y-axis is determined by the difference in the y-coordinates.

As stated in the textbook context, it makes no difference whether the differences are positive or negative since we are simply measuring the shifts along the two axes.

Solution Steps

  1. Step 1: Calculate distance along the x-axis = x-coordinate of DD − x-coordinate of AA = 7−3=47 - 3 = 4 units.

    ∴ Distance along the x-axis = 4 units.

  2. Step 2: Calculate distance along the y-axis = y-coordinate of AA − y-coordinate of DD = 4−1=34 - 1 = 3 units.

    ∴ Distance along the y-axis = 3 units.

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