Determine whether the graphs of the equations are parallel,perpendicular,or neither
Y=-x+2
Y=-x-3
The slope of the first Y is equal to= -1
The slope of the second Y is equal to= -1
So as both slopes are the same:
x + y = 2 and x+y= -3
Are parallel
To determine whether the graphs of the equations are parallel, perpendicular, or neither, we need to compare their slopes.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, we have the equations Y = -x + 2 and Y = -x - 3.
Comparing the equations, we can see that they both have the same slope, which is -1. Therefore, the graphs of the equations are parallel.
To verify this, we can see that the equation Y = -x + 2 can be rewritten as y = -1x + 2, and the equation Y = -x - 3 can be rewritten as y = -1x - 3. Notice that both equations have the same slope, -1.
In summary, the graphs of the equations Y = -x + 2 and Y = -x - 3 are parallel.