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Which statement is true about the graphs of the two lines y= -8x - 5/4 and y= 1/8 x + 4/5?

User Greenkode
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1 Answer

5 votes

Answer:

The lines are perpendicular

Explanation:

If we have two lines of equations:


y = nx + v (1)


y = mx + b (2)

Where n is the slope of the line (1) and m is the slope of the line (2)

Then by definition it is fulfilled that if
n = -(1)/(m) means that the lines (1) and (2) are perpendicular

In this case the lines are:


y= -8x - (5)/(4) (1)


y= (1)/(8)x + (4)/(5) (2)

Observe that:
n=-8 and
m=(1)/(8)

Then it is fulfilled that
n = -(1)/(m) because:


n =-(1)/((1)/(8))


n = -8

Therefore the lines are perpendicular

User Mithat
by
8.7k points

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