What is the slope of the line passing through the following points: # (-3, 8), (1,6) #?
To find the gradient (slope) of a line passing through 2 points
#color(blue)" gradient formula " #
# m = (y_2 - y_1 )/(x_2 - x_1 ) #
# (x_1 , y_1 ) " and " (x_2 , y_2 ) " are the coords of 2 points"#
#(x_1,y_1) = (-3,8) " and " (x_2,y_2) = (1,6) #
#rArr m = (6-8)/(1-(-3)) = (-2)/4 = -1/2 #
Slope (gradient) is the amount of up or down for a given amount of along. Think of the slope of a hill!
So the gradient is
You list (-3,8) first so we will take that as the starting point
For your question this gives:
The negative gradient means that the graph 'goes down' as you move from left to right