What is the image of (-4, -12) after a dilation by a scale factor of centered at the 1/4 origin?

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  (-1, -3)

Step-by-step explanation:

Each coordinate is multiplied by the dilation factor when dilation is centered at the origin.

  (1/4)(-4, -12) = (-1, -3) . . . . the image of the given point

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4