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
To find the slope of a line segment, we use the formula: slope = (change in y)/(change in x).
The line segment AE goes from (0,0) to (4,5), so the change in y is 5-0 = 5 and the change in x is 4-0 = 4. Therefore, the slope of AE is 5/4.
The line segment BE also goes from (3,0) to (4,5), so the change in y is 5-0 = 5 and the change in x is 4-3=1. Therefore, the slope of BE is 5/1 = 5.
The ratio of the slope of BE to the slope of AE is 5/4, so the answer is:
Start Fraction 5 Over 4 End Fraction