Final answer:
The graph of y = -x + 36 (simplified from y = -x + 41 - 5) will be a straight line with a negative slope of -1 and a y-intercept at 36, indicating it will slope downwards from left to right.
Step-by-step explanation:
The graph of the equation y = -x + 41 - 5 is a straight line.
To simplify the equation, we combine like terms, resulting in y = -x + 36.
This equation is in the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope m is -1, and the y-intercept b is 36.
A negative slope means the line will slope downwards from left to right.
The y-intercept of 36 indicates where the line will cross the y-axis.
When graphing, you would start at the point (0, 36) and use the slope to determine the next points: for each unit increase in x, y will decrease by 1 unit due to the negative slope.
This results in a line that slopes downward as we move to the right along the x-axis.