What is the slope of the line passing through the following points: (5, -6) , (-8, 1)(5,−6),(−8,1)?
1 Answer
Feb 7, 2016
-7/13 −713
Explanation:
To find the gradient (slope ) of a line passing through 2 points use the
color(blue)(" gradient formula") gradient formula
m = (y_2 - y_1 )/(x_2 - x_1 ) m=y2−y1x2−x1 where
(x_1 , y_1 ) , (x_2 , y_2 )color(black)(" are coords of 2 points ") (x1,y1),(x2,y2) are coords of 2 points let
(x_1 , y_1 ) = (5 , -6 )color(black)(" and ") (x_2,y_2) = (-8 , 1 )(x1,y1)=(5,−6) and (x2,y2)=(−8,1) substitute into gradient formula :
rArr m = (1-(-6))/(-8-5) = 7/-13 = -7/13 ⇒m=1−(−6)−8−5=7−13=−713
