find the slope for 6x+y=2 and x+6y=24 and are the two lines parallel, perpendicular or neither
To find the slope of a line, we need to rewrite the equations into slope-intercept form (y = mx + b), where "m" represents the slope.
1) 6x + y = 2:
Subtract 6x from both sides:
y = -6x + 2
The slope is -6.
2) x + 6y = 24:
Subtract x from both sides:
6y = -x + 24
Divide everything by 6:
y = (-1/6)x + 4
The slope is -1/6.
Since the slopes of the two lines are different (-6 and -1/6), the lines are neither parallel nor perpendicular.