Up, down, and all around quiz
points (-5, 8) and d (2, 5) lie on line cd. if
points c" and d' are created by translating
points c and d left 6 units, what is the slope of line
c'd' ?

 The required slope of line C'D' is

Step-by-step explanation:  Given that the points (-5, 8) and D (2, 5) lie on line CD. And, the points C' and D' are created by translating points C and D left 6 units.

We are to find the slope of line C'D'.

We know that

if a point (x, y) is translated 6 units left, then its new co-ordinates becomes

(x, y)  ⇒   (x-6, y).

So, after translating 6 units left, the co-ordinates of points C(-5, 8) and D(2, 5) becomes

C(-5, 8)  ⇒  C'(-5-6, 8) = (-11, 8),

D(2, 5)   ⇒  D'(2-6, 5) = (-4, 5).

We know that the slope of a line having points (a, b) and (c, d) on it is given by

Therefore, the slope of line C'D' is

Thus, the required slope of line C'D' is

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb