What will be the new position of the given point (9,-4) after reflection across the line x=1

The new point would be (-7, -4)

Step-by-step explanation:

In order to find this, we know that the y value would not change. This is because it is being reflected over a vertical line, which has no effect on y values.

Next, to find the y value, we know that the average of the current x value and the new x value will be equal to the line of reflection. Therefore the following equation is true.

(x1 + x2)/2 = x

Now we can input the original value (x1) and the end result to solve for the new x value (x2)

(x1 + x2)/2 = x

(9 + x2)/2 = 1

9 + x2 = 2

x2 = -7

This gives us a final ordered pair of (-7, -4)

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step-by-step explanati∵∵∴∴on: