SOLUTION: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 6x+7y=42 7x=1

Question 1002361: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly.
6x+7y=42
7x=16+6y

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you put them both into slope-intercept form, you can see their relationship better...so from
6x+7y=42
7x=16+6y
we get
7y = -6x + 42
y = (-6/7)x + 6
and
6y = 7x - 16
y = (7/6)x - 8/3
Their slopes are negative reciprocals and the lines are thus perpendicular.
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