Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior out of all students in the
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Answer:
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m):
m =
=
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = +
y = +
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ +
8 ___
8 >
so ≤ makes the statement False
⇒ y ≤ +
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If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above: