Problema Solution
without graphing, tell whether the graphs of each pair of equations are perpendicular 2x-5y= -3
2x+5y=4
Answer provided by our tutors
The lines are not perpendicular because their slopes are not opposite reciprocal (the product of the slopes needs to be -1).
2x-5y= -3 is equivalent to y = (2/5)x + (3/5)
2x+5y=4 is equivalent to y = (-2/5) + (4/5)
(2/5)*(-2/5) = -4/25 follows the lines are not perpendicular.