Question

Help please!! i added a picture.

Answer 1

Option (C)

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
`(x_1,y_1)` and
`(x_2,y_2)` is,

slope (m) =
`(y_2-y_1)/(x_2-x_1)`

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

m =
`(-40+124)/(-1+8)` = 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.