Question

(1) find two points on the line.
to move from point to point:
(2) use the tool and draw the $delta y$ (the line you move vertically) in blue.
(3) use the tool and draw the $delta x$ (the line you move horizontally) in green.
(4) write the slope of the line as a ratio: $\frac{delta y}{delta x}$ $m = ____
(5) determine if the line has a positive or negative slope.

Explanation:

Step1: Select two points

Let's take the points (0, 3) and (1, 1) on the line.

Step2: Calculate $\Delta y$

$\Delta y=y_2 - y_1=1 - 3=- 2$

Step3: Calculate $\Delta x$

$\Delta x=x_2 - x_1=1 - 0 = 1$

Step4: Find the slope

$m=\frac{\Delta y}{\Delta x}=\frac{-2}{1}=-2$

Step5: Determine slope sign

Since $m=-2<0$, the slope is negative.

Answer:

The slope $m = - 2$ and the slope is negative.