The equation of the graphed line would be:
y = -x + 6
To find the equation of the line in slope intercept form, we can begin by calculating rise/run. This is identified through consideration of the questions:
Rise: How did the graph change vertically?
Run: How did the graph change horizontally?
When applying these questions, we will find that:
• The graph decreases by 1 unit vertically from one point to another
• The graph increases by 1 unit horizontally from one point to another
Therefore, the slope would be -1/1, which can be otherwise written as -x or -1.
The y-intercept, or the point where the line of the equation passes through the y-axis, can be identified once we have our line. When we look at this graph, we will find that the graph has a y-intercept of 6.
Answer Recap: The equation of the graphed line in slope intercept form would be y = -x + 6.