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Is Y=4/5x-8 and y=-5/4+3 perpendicular?

User Ae
by
8.4k points

1 Answer

3 votes

Answer:

yes

Explanation:

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
(4)/(5)x - 8 ← is in slope intercept form

with slope =
(4)/(5)

y = -
(5)/(4) x + 3 ← is in slope- intercept form

with slope = -
(5)/(4)

Now


(4)/(5) × -
(5)/(4) = - 1

Hence the 2 lines are perpendicular

User Volodymyr Baydalka
by
7.2k points

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