How do you find the slope of the line passing through the points (14,6) and (9,1)?
1 Answer
Jun 30, 2016
slope = 1
Explanation:
To find the slope (m ) of a line passing through 2 given coordinate points we can use the
#color(blue)"gradient formula"#
#color(red)(|bar(ul(color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))#
where# (x_1,y_1)" and " (x_2,y_2)" are 2 points"# Here the 2 points are (14 ,6) and (9 ,1)
let
# (x_1,y_1)=(14,6)" and " (x_2,y_2)=(9,1)#
#rarrm=(1-6)/(9-14)=(-5)/(-5)=1# We will obtain the same answer if we 'swap' the points.
let
# (x_1,y_1)=(9,1)" and " (x_2,y_2)=(14,6)#
#rArrm=(6-1)/(14-9)=5/5=1#
