Question

How do you find the slope of the line (7,5)(9,-1)?

Answer 1

Slope `= -3`

Explanation:

Given two point `(x_1,y_1)` and `(x_2,y_2)`
the slope is given by
`color(white)("XXX")m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For the given points `(7,5)` and `(9,-1)`
this becomes
`color(white)("XXX")m= (-1 - 5)/(9-7) = (-6)/2 = -3`