Question

What is the slope of the line?
-2
-1/2
1/2
2

Answer 1

`\large\boxed{m=-(1)/(2)}`

Explanation:

The formula of a slope:

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

From the graph we have the points (2, 3) and (4, 2). Substitute:

`m=(2-3)/(4-2)=(-1)/(2)=-(1)/(2)`

Other method.

Look at the picture.

`m=(\Delta y)/(\Delta x)`

`\Delta y=-1\\\\\Delta x=2`

Substitute:

`m=(-1)/(2)=-(1)/(2)`