Line segment ab has vertices a(−3, 4) and b(1, −2) . a dilation, centered at the origin, is applied to ab . the image has vertices a′(−1, 43) and b′(13, −23) .

what is the scale factor of the dilation?

a)16

b)13

c)3

d)6

B)1/3

Step-by-step explanation:

The scale factor is the amount each coordinate in a point is multiplied to create the image point.

A is at (-3, 4) and A' is at (-1, 4/3).  To get from -3 to -1, multiply by 1/3; to get from 4 to 4/3, multiply by 1/3.

If we multiply B by 1/3, we get B' = (1(1/3), -2(1/3)) = (1/3, -2/3)

This is the correct scale factor.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.