SOLUTION: 2x-5y= -3 2x+5y=4 determine whether each pair represents perpendicular lines

Question 536778: 2x-5y= -3
2x+5y=4
determine whether each pair represents perpendicular lines

Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
The slope-intercept form of an equation is useful for finding the slope, and for comparing lines (parallel or perpendicular).

The equation is y=mx+b where m is the slope. Two lines are perpendicular if their slopes are negative reciprocals of each other. That is, if the product of the slopes is -1.

2x - 5y = -3

Subtract x from both sides.

-5y = -2x - 3

Divide both sides by -5.

y = 2/5x + 3/5.

In order for the second line to be perpendicular to this line, the second line's slope must be -5/2 because 2/5 * -5/2 = -1.

2x + 5y = 4

Subtract 2x from both sides.

5y = -2x + 4

Divide both sides by 5.

y = -2/5x + 4/5

-2/5 * 2/5 = -4/10. That's not -1. The lines are not perpendicular.

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