Answer:
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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (-1, -40) and (-8, -124) will be,
m = [tex]\frac{-40+124}{-1+8}[/tex] = 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.
