Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure. Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
Fractions are division! If you don't know what a quotient is, It is basically a more complicated way of saying "find the answer by dividing." So we always divide the numerator (top number) by the denominator (bottom number). So we get 14÷-2 and we can see that -2 is a negative number, so remember that a positive times or divided by a negative is always a negative number. So therefore we get -7 as our quotient.