SOLUTION: Perpendicular to y=2x-3 and passes through (1,0). Plz give me formula and work... I'm using this as a guide for my homework.

Algebra ->  Linear-equations -> SOLUTION: Perpendicular to y=2x-3 and passes through (1,0). Plz give me formula and work... I'm using this as a guide for my homework.      Log On


   

Question 893570: Perpendicular to y=2x-3 and passes through (1,0).
Plz give me formula and work... I'm using this as a guide for my homework.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
As a formula? Try this.
Given y=mx+b, find the equation of a line perpendicular to it which contains the point (u,v).

You want a line y=-%281%2Fm%29x%2Bk, and to find this k, the y-intercept, solve for k.
k=y-%28-%281%2Fm%29%29x
k=y%2B%281%2Fm%29x
We are accepting (u,v) as a specific, given point.

Use (u,v) to find k.
k=v%2B%281%2Fm%29%2Au

Using these we put together our wanted line's equation.
y=-%281%2Fm%29x%2B%28v%2B%281%2Fm%29u%29
highlight%28y=-%281%2Fm%29x%2B%28v%2Bu%2Fm%29%29
This formula could be simplified further if you want:
highlight%28y=-%281%2Fm%29x%2B%28vm%2Bu%29%2Fm%29