If a point P(–1, –1) is reflected across the line y = –2, what are the coordinates of its reflection image?

1 answer:

8 0

Since the line of refrection is a horizontal line, the x-coordinate of the image will be the same as the x-coordinate of the point P(-1, -1). P(-1, -1) is one unit above the line y = -2, hence the image will be one unit below the line y = -2. Therefore the coordinate of the image is (-1, -3)

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<u>Solution:</u>

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$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

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To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

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