The table represents a linear equation. Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
y-6 = {(x - 2)
• y-6 = (x - 2)
y +6 = } (x + 2)
y+6= {(x + 2)

  see below

Step-by-step explanation:

Considering the last two table entries, we can find the slope of the line to be ...

  Δy/Δx = (24 -14)/(10 -6) = 10/4 = 5/2

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For (h, k) = (-2, -6) and m = 5/2, this is ...

  y -(-6) = 5/2(x -(-2))

  y +6 = 5/2(x +2) . . . . . matches the last choice

linear pair postulates

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step-by-step explanation: