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kirill115 [55]
3 years ago
9

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

hree options.
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

<em>Next time, please upload your option.</em>

The line 5x − 2y = −6 <=> 2y = 5x + 6 <=> y = (5/2)x + 3, has the slope a = 5/2

=> Another line (y = a'x + b) that is perpendicular with this line, must has slope a', that satisfies: a' x (5/2) = -1 => a' = -2/5

=> y = (-2/5)x + b

This line passes (5, -4), then we have:

-4 = (-2/5)*5 + b => -4 = -2 + b => b = -2

=> Solution is y = (-2/5)x -2

Hope this helps!

:)

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