Four line segments are graphed on a coordinate plane. All four lines meet at point E.Line segment Upper A Upper E begins at left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper B Upper E begins at left parenthesis 3 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper C Upper E begins at left parenthesis 6 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper D Upper E begins at left parenthesis 9 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis.

Question
What is start fraction slope of modifying above upper B upper E with bar over slope of modifying above upper A upper E with bar end fraction in simplest form?
(1 point)
Responses

4
4

5 over 4
Image with alt text: 5 over 4

Start Fraction 25 over 4 End Fraction
Image with alt text: Start Fraction 25 over 4 End Fraction

5
5
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1 answer

The slope of line segment Upper A Upper E is: start fraction 5 over 4 end fraction

The slope of line segment Upper B Upper E is: 4

The difference in slopes is: 4 - start fraction 5 over 4 end fraction

simplified to: start fraction 25 over 4 end fraction