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Reika [66]
3 years ago
13

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

Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

yes

Step-by-step 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 = \frac{4}{5}x - 8 ← is in slope intercept form

with slope = \frac{4}{5}

y = - \frac{5}{4} x + 3 ← is in slope- intercept form

with slope = - \frac{5}{4}

Now

\frac{4}{5} × - \frac{5}{4} = - 1

Hence the 2 lines are perpendicular

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