Describe and explain how and why African-Americans, faced
discrimination and were denied equality in the late nineteen century?

I suggest you read Text: Chapter 19, pps.561-562, 569-573 and Reader:
Chapter 17
http://www.brazosport.cc.tx.us/~history/telecourses/Hist1302-spr2002syl.htm

Lesson 5: "The American Dream Deferred"
Overview: Describes how and why American minorities, particularly
African-Americans, were denied equality and examines their response.
Objectives: 
1. Describe and explain how and why African-Americans faced
discrimination and were denied equality in the late nineteenth century
2. Analyze the responses of African-Americans, particularly as
expressed by recognized black leaders
3. Describe and explain the status of minorities other than
African-Americans at the end of the nineteenth century
Reading Assignment: 
Text: Chapter 19, pps.561-562, 569-573 
Reader: Chapter 17 

-K~

Though I see now that I could be mistaken, and you are instead
enrolled in this other "College at Home" course:

http://www2.vscc.cc.tn.us/academic/socialsci/cah%20syllabus%20history%202020%20summer%2002.htm

In which case, you should read --

Textbook: Chapter 20, continued - pages 526-528 ;  chapter 21,
continued – 574-583
 
2. Describe and explain how and why African Americans faced
discrimination.  Why were they denied equality in the late nineteenth
century?

I'm sure you'll find the answer there. 

-K~

-K~