Points c ( − 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 ′ ?

a.
3
7

b.
−
3
7

c.

7
3

d.
−
7
3

  B.  -3/7

Step-by-step explanation:

The slope of CD is (Dy -Cy)/(Dx -Cx) = (5-8)/(2-(-5)) = -3/7.

Translation does not affect the slopes of lines. Of the transformations we study, only rotation affects the slope of a line.

The translated line segment has slope -3/7.

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: