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# Coordinates

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What is the x-coordinate of the point on the x-axis that is equidistant from points (-2, 0) and $$(0,6)$$?

May 29, 2022

### 1+0 Answers

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+13730
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What is the x-coordinate of the point on the x-axis?

Hello Guest!

$$m_{g(x)}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-0}{0+2}\\ m_{g(x)}=3\\ m_{f(x)}=-\frac{1}{3}\\ P_{center}(-1,\ 3)$$

$$f(x)=0=-\frac{1}{3}(x+1)+3\\ \frac{1}{3}(x+1)=3\\ \color{blue}x=8$$

The x-coordinate of the point on the x-axis is 8.

!

May 30, 2022