Question

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

Answer 1

Answer:

$\large\boxed{m=-\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{2-3}{4-2}=\dfrac{-1}{2}=-\dfrac{1}{2}$

Other method.

Look at the picture.

$m=\dfrac{\Delta y}{\Delta x}$

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

Substitute:

$m=\dfrac{-1}{2}=-\dfrac{1}{2}$