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Option (C)

Step-by-step explanation:

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Slope of the function passing through two points and is,

slope (m) =

Slope of the line passing through (-1, -40) and (-8, -124) will be,

m = = 12

Equation of the line passing through (-20, -268) and slope = 12 will be,

y + 268 = 12(x + 20)

Equation of the line passing through (-14, -196) and slope = 12 will be,

y + 196 = 12(x + 14)

Equation of the line passing through (-8, -124) and slope = 12 will be,

y + 124 = 12(x + 8)

Equation of the line passing through (-1, -40) and slope = 12 will be,

y + 40 = 12(x + 1)

From the given choices, option (C) is the correct one.