Question

What is the slope of BE/slope of AE in simplest form

Answer 1

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=
`(y_(2)-y_(1))/(x_(2)-x_(1))`

=
`(5-0)/(4-3)`

=
`(5)/(1)`

Thus, slope of BE=5.

Slope of AE =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

=
`(5-0)/(4-0)`

=
`(5)/(4)`

Thus, slope of AE=
`(5)/(4)`

Now,
`(slope of BE)/(slope of AE)=(5)/((5)/(4))=4`.

which is the required simplest form.

Answer 2

The slope is calculated using:
m = (y₂ - y₁) / (x₂ - x₁)

For BE:
m = (5 - 0) / (4 - 3)
m = 5

For AE:
m = (5 - 0) / (4 - 0)
m = 5/4 = 1.25