Question

Identify the equation in point slope form for the line perpendicular to y=3x+5that passes through (4,-1).

Answer 1

perpendicular slopes are those that are opposite signs and flipped version of original slope.

Answer 2

For this case we have that by definition, if two lines are perpendicular, then it follows that:

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

We have
`m_ {1} = 3`

So:

`3 * m_ {2} = - 1\\m_ {2} = - \frac {1} {3}`

Thus, the equation would be:

`(y-y_ {0}) = - \frac {1} {3} (x-x_ {0})`

We have the point:

`(x_ {0}, y_ {0}) = (4, -1)`

We replace:

`(y - (- 1)) = - \frac {1} {3} (x-4)\\y + 1 = - \frac {1} {3} (x-4)`

Answer:

`y + 1 = - \frac {1} {3} (x-4)`

Option C