Question

How do you write the equation using function notation that goes through (-2,-5); perpendicular to `3x + 5y = -17`?

Answer 1

`3x+5y = -17`
can be written in slope-intercept form as
`y = -3/5x -71`
which has a slope of `-3/5`

Any line perpendicular to this will have a slope `5/3`

A line going through `(-2,-5)` with a slope of `5/3`
is given by
`y+5 = 5/3(x+2)`

`y= (5x)/3 + 10/3 -5`

`y = (5x-5)/3 = 5/3(x-1)`
or
`f(x) = 5/3(x-1)`