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
The slope of line segment AB can be found by using the slope formula:
slope AB = (change in y)/(change in x) = (5-0)/(4-3) = 5/1 = 5
The slope of line segment BE can also be found using the same formula:
slope BE = (change in y)/(change in x) = (5-0)/(4-3) = 5/1 = 5
Therefore, the answer is 5/5 = 1.
pick an answer from above
The correct answer from the options provided is "5 over 4".
To find the slope of a line, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
For Segment AE, the change in y-coordinates is 5 - 0 = 5, and the change in x-coordinates is 4 - 0 = 4. So the slope of AE is 5/4.
For Segment BE, the change in y-coordinates is also 5 - 0 = 5, and the change in x-coordinates is 4 - 3 = 1. So the slope of BE is 5/1 = 5.
To find the ratio of the slope of BE to AE, we can divide the two slopes:
slope of BE / slope of AE = 5 / (5/4)
To divide by a fraction, we invert the second fraction and multiply:
slope of BE / slope of AE = 5 * (4/5) = 4.
Therefore, the simplified ratio of the slope of BE to AE is 4.