Given a point A(-3,-1), it is dilated by some scale factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

Step-by-step explanation:

Given

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

Make Scale Factor the subject

Substitute values for A' and A

Factorize the numerator

The coordinates of B' is then calculated as follows:

Substitute values for B and Scale Factor

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

70 years.

step-by-step explanation: