Question

Find the coordinates of the endpoint of the image?

Answer 1

Given:

The graph of a line segment.

The line segment AB translated by the following rule:

$(x,y)\to (x+4,y-3)$

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

$(x,y)\to (x+4,y-3)$

Using this rule, we get

$A(-2,-3)\to A'(-2+4,-3-3)$

$A(-2,-3)\to A'(2,-6)$

Similarly,

$B(4,-1)\to B'(4+4,-1-3)$

$B(4,-1)\to B'(8,-4)$

Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).