# What is the slope of the line passing through the following points: # (-3, 8), (1,6) #?

##### 2 Answers

#### Explanation:

To find the gradient (slope) of a line passing through 2 points

use the

#color(blue)" gradient formula " #

# m = (y_2 - y_1 )/(x_2 - x_1 ) # where

# (x_1 , y_1 ) " and " (x_2 , y_2 ) " are the coords of 2 points"# here let

#(x_1,y_1) = (-3,8) " and " (x_2,y_2) = (1,6) #

#rArr m = (6-8)/(1-(-3)) = (-2)/4 = -1/2 #

#### Explanation:

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

Let

Let

For your question this gives:

The negative gradient means that the graph 'goes down' as you move from left to right