Question

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

Answer 1

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)`