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Graph J(2,-1), K(4,-5), and L(3,1) and reflect across the x=-1. Please draw the line of reflection.

Sagot :

You have the following points:

J(2,-1), K(4,-5), L(3,1)

To reflect the previous points around the line x = -1, consider the horizontal distance of each point to the given line x=-1. The reflected point is obtained by using the same distance to the line but in the other side.

You proceed as follow:

J(2,-1)

the distance of the previous point to the line x=-1 is 2-(-1) = 3. You subtract this value to x = -1. Thus, the x-coordinate of the new point is:

-1-3 = -4

and the new point is:

J(2,-1) => J'(-4,-1)

For K(4,-5) you have:

distance to the line x=-1 is 4-(-1) = 5. Subtract this value to the line.

-1-5 = -6

and the new point is:

K(4,-5) => K'(-6,-5)

For L(3,1):

distance to the line x=-1 is 3-(-1) = 4.

-1-4 = -5

and the new point is:

L(3,1) => L'(-5,1)

A plot of the original and reflected points is given below:

where the figure with black lines is the original figure and the figure with blue lines is the reflected one.

View image ZoyaX401166
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