Question

Line segment FG begins at (-1, 5) and ends at (-1, -3). The segment is translated right 10 units and down 5 units to form line segment F'G'.
Enter the distance, in units, of line segment F’G’

Answer 1

If the line is shifted 10 units right side and 5 units downward side. Then the equation of the line is y + 8 = 0.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Line segment FG begins at (-1, 5) and ends at (-1, -3). The segment is translated right 10 units and down 5 units to form line segment F'G'. Then the coordinate of F' and G' will be

F' = (-1 + 10, 5 - 5) = (9, 0)

G' = (-1 + 10, -3 - 5) = (9, -8)

Then the equation of the line passing through F' and G' will be

$\rm y + 8 = \dfrac{-8-0}{9-9}(x - 9)\\\\y + 8 = 0$

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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