Which of the following equations describes the line shown below? Check all that apply (-2,6) and (4,3)

1 answer:

7 0

A and F are true. because A is y=2x+7, and F is y=2x+7.
We know that the equation y=2x+7 has a point 0,7 and with the slope being 2, rise over run would make another point 1,9. And because these are linear equations if the equation y=2x+7 goes through 1,9 then it will go though -2,3 as well.

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M(2,5) is the midpoint of RS. The coordinates of S are (3,9). What are the coordinates of R?

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$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ R(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad S(\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{3+x}{2}~~,~~\cfrac{9+y}{2} \right)~~=~~\stackrel{M}{(2~,~5)}\implies \begin{cases} \cfrac{3+x}{2}=2\\[1em] 3+x=4\\ \boxed{x = 1}\\ \cline{1-1} \cfrac{9+y}{2}=5\\[1em] 9+y=10\\ \boxed{y=1} \end{cases}$