Option b . The slope of line CD is 4/3 is the correct answer. The lines AB and CD are hypotenuse of a similar triangle there slopes are equal. Other features of a similar triangle applies too.
Triangles are said to be similar when there corresponding angles and sides are congruent. Typically, the proportions of the corresponding sides are equal sides are equal.
Hence similar triangles has equal slope since the slope is a proportion of corresponding sides. The angles are also equal.
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complete question
These triangles are similar. The equation for line AB is given. What is the slope of line CD?
A. The slope of line CD is 5.
B. The slope of line CD is 4/3.
C. There is not enough information to find the slope of line CD.
