Answer:
The last answer choice.
Step-by-step explanation:
Check. Plug in the given number for x, and if the given number for y is the answer, then it is correct:
[tex]\left[\begin{array}{cc}x&y\\-6&2\\0&-3\\6&-8\end{array}\right][/tex]
[tex]y = -\frac{5}{6}x - 3[/tex]
When: [tex]x = -6 , y = 2[/tex]
[tex]2 = (-\frac{5}{-6} * -6) - 3 \\2 = (5) -3\\2 = 2[/tex](True)
When: [tex]x = 0 , y = -3[/tex]
[tex]-3 = -\frac{5}{6}(0) -3\\-3 = 0 - 3\\-3 = -3[/tex] (True)
When: [tex]x = 6 , y = -8[/tex]
[tex]-8 = -\frac{5}{6}(6) - 3\\-8 = -5 - 3\\-8 = -8[/tex](True).
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