The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3
Written as a function, it is
.. f(x) = (2/3)x +3
Use the general definition:
|x - a| ≤ k => - k ≤ x - a ≤ k
So, |a - 9| ≤ 4 => - 4 ≤ a - 9 ≤ 4
Which is a - 9 ≥ - 4 and a - 9 ≤ 4.
That is the second option.
Answer: a - 9 ≤ 4 and a - 9 ≥ - 4
Answer:
I believe it would be D.
Step-by-step explanation: