Question

Choose the equation that represents the graph.

Answer 1

Answer:

y=-2x-4

Step-by-step explanation:

y=mx+b

count the slope (-2/1)

find the y-intercept(0,-4)

write it out (-2/-1)x-4

simplify (-2x-4)

Answer 2

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-2)}}}\implies \cfrac{-4}{0+2}\implies \cfrac{-4}{2}\implies -2$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}] \\\\\\ y=-2(x+2)\implies y=-2x-4$