Question

These lines are perpendicular. is the statement true or false? y=-5/2x+4 and y=5/2x-3

Answer 1

Answer: False

Explanation:

In order for lines to be perpendicular, their slopes must be opposite reciprocals.

`y=-(5)/(2)x+4\qquad \rightarrow \quad m=-(5)/(2)\\\\\\y=(5)/(2)x-3\qquad \rightarrow \quad m=(5)/(2)`

Their slopes are opposites (opposite signs).
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Their slopes are NOT reciprocals (fractions flipped)
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