What is the y-intercept of the line graphed on the graph? (-5,-4) and (3,8)

it is rigid.; it is isometric. ; the size is preserved.

step-by-step explanation:

a translation is called an isometry; these are transformations that preserve congruence between pre-images and images.

they are also called rigid transformations, as the only thing that can happen to a pre-image is that it is moved or turned, not stretched or shrunk.

since congruence is preserved, the size is preserved.

as given ,→planes t and x are parallel.

→plane t contains line a.

→plane x contains line b.

as we know by definition of line , if we take any two points on a plane the line should completely lie on it i. pass through these two points.

out of the four options given it seems that two possibilities might be true.

1. they may be skew lines , so they will never intersect.

2.if lines a and b are parallel, so again they will not intersect.

other two seems incorrect

because if a and b are perpendicular to the plane ,

1. either they will join each other to form a unique line or2. they will never intersect.

there is no possibility that they will intersect at two points.

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule