2 Answers

Bijoy · Answer 1 · 2020-07-16T08:38:58+0000

For this case we have to by definition, if two lines are perpendicular when it is fulfilled that:

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

We have the following line:

y = 7x-3

So:

$m_ {1} = 7$

We find
$m_ {2}:$

$m_ {2} = \frac {-1} {m_ {1}} = \frac {-1} {7} = - \frac {1} {7}$

Thus, the equation is of the form:

$y = - \frac {1} {7} x + b$

We find "b", taking into account that the line passes through the origin:

$0 = - \frac {1} {7} (0) + b\\b = 0$

Finally, the equation is:

$y = - \frac {1} {7} x$

Answer:

$y = - \frac {1} {7} x$

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