SOLUTION: Perpendicular to y=-2x-4 and passes through (1,0). Plz give me formula and work... I'm using this as a guide for my homework.

Question 893571: Perpendicular to y=-2x-4 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) (Show Source): You can put this solution on YOUR website!
------ slope is m, and y intercept is (0,b).
You can solve the form for b to have:

You are asking specifically for a FORMULA to use for finding the line perpendicular to some
line y=mx+b and containing a specific point.

A line will be perpendicular to another line if .
This means that the line perpendicular to will be .

If now given that this line must contain the point (u,v), then you can use the coordinates
of this point to find k, the y-intercept for. As before, now solve for k.
, the y-intercept for the line through (u,v) perpendicular to .

Using the parts separately might be easier than trying to put all of this into a single formula.

SPECIFICALLY FOR YOUR EXAMPLE

Given Find the line perpendicular to it which contains the point (1,0).
The slope of this perpendicular line is , and to find the y-intercept, you can start with

Substitute the specific point to be passed-through

The line wanted is

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