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Feature
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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To find the slope of a line, we use the formula:
slope = Δy / Δx
where Δy represents the change in y-coordinates and Δx represents the change in x-coordinates.
For line segment AE, the change in y-coordinates is 5 and the change in x-coordinates is 4. So, the slope of AE is 5/4.
For line segment BE, the change in y-coordinates is also 5, as both line segments AE and BE have the same ending y-coordinate. However, the change in x-coordinates is 1, as line segment BE extends 1 unit to the right. So, the slope of BE is 5/1.
To find the ratio of the slopes, we divide the slope of BE by the slope of AE:
(5/1) / (5/4) = (5/1) * (4/5) = 20/5 = 4
Therefore, the ratio of the slopes is 4.