Question

What is the slope of the line passing through `(3,7) ; (-5,-9)`?

Answer 1

slope = 2

Explanation:

The slope of a line joining 2 points can be calculated using the

`color(blue)(" gradient formula ")`

`m =( y_2 -y_1)/(x_2 - x_1)`

where `(x_1 , y_1 ) color(black)( " and ") (x_2 , y_2 )`

are 2 points.

let `(x_1 , y_1 ) = (3 , 7 ) , (x_2 , y_2 ) =(- 5 , - 9 )`

hence m `= ( - 9 - 7 )/( - 5 - 3 ) = (-16)/-8 = 2`