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Rom4ik [11]
3 years ago
7

The equation of line n is 8x - 14y + 3 = 0. What is k if the graphs of n and kx - 7y + 10 = 0 are perpendicular?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
First put the given equations into the form, y = mx + c, as follows:
y=\frac{4}{7}x+\frac{3}{14}
y=\frac{k}{7}x+\frac{10}{7}
For perpendicularity, the product of the slopes must equal negative one.
\frac{k}{7}\times\frac{4}{7}=-1
Solving for k, we get:
k=-\frac{49}{4}
The correct choice is C.
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