Prove parallel lines have the same slope. use lines r and s. line s is a vertical translation of line r.    (1)a translation is a rigid transformation. how does this statement support line s being parallel to line r?     (2)write an expression for the slope of line r.    (3)write an expression for the slope of line s.    (4)line q is a vertical translation of line s 3 units down.p" is the image of p'. what are the coordinates of p"? **for 1-4 you have to answer the question**

(1)

since a translation of a line segment is its rigid movement, vertically or horizontally.

line 's' is parallel to line 'r' since it is a translation of line 'r'  'e' units vertically ( clearly we could see that the point P' corresponding to point P in line r is shifted 'e' units upward and point Q' in line 's' is formed by shifting corresponding point Q of line 'r' e units upward).

(2)

the slope of a line is defined as the change in y-coordinates to the change in x-coordinates of the points on that line.

slope of line r=slope of line segment PQ.

coordinates of P=(m,n) and Q=(j,k)

slope of line r=slope of PQ=

(3)

the slope of line s= slope of line segment P'Q'

slope of line s=slope of P'Q'=

(4)

as line q is a vertical translation of line 's' 3 units down.

and P'' is the image of P'.

so coodinates of P''= (m,n+e-3)

Mike has a choice of an account that compounds daily and an account that compounds monthly. If they both have the same interest rate, which will earn more interest?

Account that is being compounded on a daily basis will earn more interest. This is because in simple words, one is getting some interest on a daily basis and one will yield an 'interest on interest'. Whereas in a monthly compounded account Mike will earn less interest.