Use the graph below.
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 B E with bar Over slope of modifying above A E with bar End Fraction in simplest form?
To find the slope of a line segment, we use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
First, let's find the slope of line segment AE.
The coordinates of A are (0, 0) and the coordinates of E are (4, 5).
Change in y-coordinates = 5 - 0 = 5
Change in x-coordinates = 4 - 0 = 4
So the slope of AE is 5/4.
Next, let's find the slope of line segment BE.
The coordinates of B are (3, 0) and the coordinates of E are (4, 5).
Change in y-coordinates = 5 - 0 = 5
Change in x-coordinates = 4 - 3 = 1
So the slope of BE is 5/1 = 5.
Therefore, the ratio of the slope of BE to the slope of AE is:
(5)/(5/4) = 5 * (4/5) = 4
Thus, the ratio is 4/1, which is already in the simplest form.