Question

Up, Down, and All Around Quiz

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:  The required slope of line C'D' is $-\dfrac{3}{7}.$

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

$m=\dfrac{d-b}{c-a}.$

Therefore, the slope of line C'D' is

$m=\dfrac{5-8}{-4-(-11)}=\dfrac{-3}{-4+11}=-\dfrac{3}{7}.$

Thus, the required slope of line C'D' is $-\dfrac{3}{7}.$