Dilation of a line by a scale factor 1/3 centered at the point (4,2)

(4/3,2/3) will the point on the line after dilation

Step-by-step explanation:

Dilation is a transformation in which every point on line is dilated or multiplied away by the scale factor. This means, that dilation either enlarges the figure or reduces it in size.

So that means, if a point A(1,1) lies on a line and this line is dilated by a factor 2. Then, the new line will be passing through point

A(1,1) ---> A'(2*1,2*1) = A'(2,2)

Given: point on line (4,2) and scale factor 1/3

Result: The point is transformed or dilated by factor 1/3

B(4,2) --> B'(4/3,2/3)

12/11c

or

12

c

11

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.