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First we need slope


Put D co-ordinates on y=mx+b




Now
slope intercept form.

The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
- 1. Let's begin with a line segment we need to copy, AB.
- 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
- 3. Now we place the the compass pointer on the point A of line segment AB.
- 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
- 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
- 6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
- 7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
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Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is

The point is (2,9). Using the above rule, we get


Therefore, the coordinates of new points are (6,16).