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Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

(-2,7) reflects to (-2,-7)

(3,9) reflects to (3, -9)

(7,2) reflects to (7,-2)

(-3,9) reflects to (-3,-9)

Step-by-step explanation:

in reflection across the x-axis the x value of the coordinate stays the same and the y value is negated to show it been reflected

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Find the slope of the line graphed below.

Finger [1]

to get the equation of any straight line, we simply need two points off of it, let's use the ones provided in the picture below.

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{-7}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{7}{2}}(x-\stackrel{x_1}{1}) \\\\\\ y-4=-\cfrac{7}{2}x+\cfrac{7}{2}\implies y=-\cfrac{7}{2}x+\cfrac{7}{2}+4\implies y=-\cfrac{7}{2}x+\cfrac{15}{2}$