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What is the slope of a line that is perpendicular to the line determined by the equation 5x 8y 17?
Wiki User
∙ 9y ago
First find the slope of the given line . 5x + 8y =17
Put this into the 'y = mx + c '. form.
Hence 8y = -5x + 17
y =(-5/8)x +17/8
'-5/8' is the slope of the given line.
To find the perpendicular slope use the equation
mm' = -1
Hence substituting
(-5/8)m' = -1
m' = (-1)(-8/5) (Note the inversion of the numbers)
m' = 8/5 (Note the double negative multiplies out to a positive), = 1 3/5 = 1.6 is the slope of the perpendicular line.
lenpollock
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