Which equation is represented by the graph below?

Mathematics

1 answer:

Stels [109]3 years ago

7 0

Answer:

y= - 1/2 +2

Step-by-step explanation:

One, the slope is negative, so you can cross some answers out right off the bat. Other than that, the answer is not a whole because it's not that steep. If you use RISE/RUN you can tell its a -1/2. Plus, the y-intercept is 2!

i hope this helps!!

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Find the equation of a line that goes through the points (-3,5) and (5,-11)

Rasek [7]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1$