If the line represented by y=-1/4 x -2 is dilated by a scale factor of 4 centered at the origin, which statement about the image is true?

Answer:
a.
Step-by-step explanation:
Dilation does not change the direction (slope) of any lines. The slope of the image line is the same as the original when the line is subject to dilation. The y-intercept point (0, -2) will be multiplied by the dilation factor, so will become 4(0, -2) = (0, -8). The dilated line will have equation ...
y = -1/4x -8 . . . . . matches choice A