Answer:
Explanation Below
Explanation:
The equation y = -x + 4 - 5 can be simplified to y = -x - 1. This is a linear equation in slope-intercept form (y = mx + b), where "m" represents the slope, and "b" represents the y-intercept.
In the equation y = -x - 1:
The slope (m) is -1, which means that for every unit you move to the right along the x-axis, the corresponding y-value (vertical position) will decrease by 1 unit. This gives the line a negative slope, causing it to slant downwards from left to right.
The y-intercept (b) is -1, which is the point where the line crosses the y-axis. In this case, it crosses the y-axis at y = -1.
So, when you graph y = -x - 1, you would start by plotting the y-intercept at (0, -1) and then use the slope to find additional points to draw the line. You can choose any two points and draw a straight line passing through them, as this is a linear equation.
For example, if you let x = 2, then y = -2 - 1 = -3, so you have the point (2, -3). With these two points (0, -1) and (2, -3), you can draw a straight line that represents the graph of the equation y = -x - 1. It will be a line sloping downward from left to right.