Final Answer:
The graph of the function = 2 - (2 + 3) - 8 is a straight line with a slope of -2 and a y-intercept of -9.
Step-by-step explanation:
To graph the function = 2 - (2 + 3) - 8, we can start by simplifying the expression within the parentheses:
= 2 - 2 - 3 - 8
Combine like terms:
= -2 - 9
Now, we can identify the slope () and y-intercept (). The slope is the coefficient of , which is -2, and the y-intercept is the constant term, which is -9. This means the line has a slope of -2 and intersects the y-axis at (0, -9).
To graph the line, we can mark the y-intercept on the coordinate plane and use the slope to find additional points. For example, if we move one unit to the right (increase by 1), we move down by two units (multiply the slope, -2, by 1). Connecting these points gives us the graph of the line.
In conclusion, the graph of = 2 - (2 + 3) - 8 is a straight line with a slope of -2 and a y-intercept of -9, descending at a rate of 2 units for every 1 unit to the right. This information allows us to visualize and understand the behavior of the function on the coordinate plane.