Answer:
Step-by-step explanation:
The coordinates of A is (0,0), E is (4,5) and B is (3,0). Thus, the slope of BE is given as:
BE=\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
=\(\frac{5-0}{4-3}\)
=\(\frac{5}{1}\)
Thus, slope of BE=5.
Slope of AE =\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
=\(\frac{5-0}{4-0}\)
=\(\frac{5}{4}\)
Thus, slope of AE=\(\frac{5}{4}\)
Now, \(\frac{slope of BE}{slope of AE}=\frac{5}{\frac{5}{4}}=4\).
which is the required simplest form.
