Let's check the slope of the line by counting how many units up/down and left/right.
Based on the graph, between two points (black dot), we have 1 unit down and 5 units to the right. Recalling the formula of slope, it is:
[tex]\text{slope}=\frac{rise}{\text{run}}=\frac{-1}{5}=-\frac{1}{5}[/tex]
Therefore, the slope of this line is -1/5.
In addition, the x and y-intercepts of this line are both found at the origin (0, 0).
Using the slope-intercept form formula:
[tex]\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]
the equation of this line is y = -1/5x.
To summarize, we have:
1. The slope of the line is -1/5.
2. The x and y-intercepts of the graph are the same.
3. The equation of the line is y = -1/5x. These can also be expressed as:
y + 1 = -1/5 (x - 5).
