What is the slope of the line passing through the following points: # (-3,2) , (-6,4)#?

1 Answer
Mar 31, 2018

Slope#=m=-2/3#

Explanation:

Use the slope formula:

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

Given #(-3,2)# and #(-6,4)#

Let

#(color(red)(-3),color(blue)(2))->(color(red)(x_1),color(blue)(y_1))#

#(color(red)(-6,color(blue)4))->(color(red)(x_2),color(blue)(y_2))#

Substituting in for the slope formula...

#m=color(blue)(4-2)/color(red)(-6-(-3))=color(blue)2/color(red)(-3)#