Question

what is the slope of the line? m = ___
simplify the constant rate of change, if possible.
(1) find two points on the line.
to move from point - to - point.
(2) use the ✔ tool and draw the δy (the rise you move vertically) in blue.
(3) use the ✔ tool and draw the δx (the run you move horizontally) in green.
(4) write the slope of the line as a ratio.
\\(\frac{δy}{δx}\\) m = ___
(5) determine if the line has a positive or negative slope.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in the $y -$coordinates and $\Delta x$ is the change in the $x -$coordinates between two points on the line.

Step2: Identify two points on the line

Let's assume two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line. From the graph (not fully visible but assuming we can identify points), if we move from one point to another, say we move down 2 units (so $\Delta y=- 2$) and right 1 unit (so $\Delta x = 1$).

Step3: Calculate the slope

Using the formula $m=\frac{\Delta y}{\Delta x}$, substituting $\Delta y=-2$ and $\Delta x = 1$, we get $m=\frac{-2}{1}=-2$.

Answer:

$-2$