Question

What is the slope of the line that passes through the points A(-2,3) and B(-12,6)?

Answer 1

Work is attached in the image below.

Answer 2

The answer is

`- (3)/(10)`

Explanation:

The slope of a line given two points can be found by using the formula

`m = ( y_2 - y _ 1)/(x_ 2 - x_ 1)`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-2,3) and B(-12,6)

The slope is

`m = ( 6 - 3)/( - 12 - - 2) = (3)/( - 12 + 2) \\ = - (3)/(10)`

We have the final answer as

`- (3)/(10)`

Hope this helps you