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Tcecarenko [31]

4 years ago

6

I need help with this question

2 answers:

gregori [183]4 years ago

7 0

If the value of 'a' is 3 & if the value of 'b' is 5

a = 3
-------
b=5

Does this make it more "easier " for you to understand ?

it kind of, sort of gave you the answer (keep in mind )

its not▶ a = 5 & B = 3 (that's how we know this isn't your answer) (option C.) ; its not saying a = 2 & B= 5 (now we know that not your answer as well). (option A.)

So, from the looks of it your answer would have to be 3/5 (option B.)

Note: Just pay close attention to what the question is asking you

Good Luck!

saw5 [17]4 years ago

6 0

OK....
The answer you would be looking for would be

3/5 --- second answer

H0P3 It H3LPS :)

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3 years ago

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

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

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Finally we have:

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In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

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