Lines x + y = 12 , x + y = 12. Are they parallel or other? is it parallel?
they appear to be the same line (colinear)
thanks scott
To determine whether the lines x + y = 12 and x + y = 12 are parallel or not, we can compare their slopes.
First, let's rewrite the equations in slope-intercept form (y = mx + b) by solving for y:
1) x + y = 12
y = 12 - x
2) x + y = 12
y = 12 - x
From both equations, we can observe that the slope (m) of each line is -1, since both x and y have a coefficient of -1.
Since the slopes of both lines are identical (-1), we can conclude that the lines are indeed parallel.