Question

How do you find the slope given (1/2, -1); (3, -3/4)?

Answer 1

The slope between `(1/2,-1)` and `(3,-3/4)` is `1/10`

Explanation:

Given two general points `(x_1,y_1)` and `(x_2,y_2)`
the slope is given by the equation
`color(white)("XXXX")` `m=(y_2-y_1)/(x_2-x_1)`

For the specific points `(1/2,-1)` and `(3,-3/4)`
this becomes
`color(white)("XXXX")` `m = (-3/4 -(-1))/(3-1/2)`

`color(white)("XXXXXXX")` `= (1/4)/(5/2)`

`color(white)("XXXXXXX")` `= 1/10`