Will someone PLEASE help me with this geometry problem?

This is it:


Explain how to find the equation of a line perpendicular to a given line through a point not on the given line.





You don't know any points or the slope. %26amp; you can't make one up.

Will someone PLEASE help me with this geometry problem?
1. The slope of the line you are trying to find will be the negative inverse of the line it is perpendicular to.





2. Then use the points you are given (even though they are not on the line) and the point slope form of a line to write the equation of the line. The point slope form is y - y0 = m(x - x0) where (x0, y0) is a point on the line.





Example:





A line perpendicular to y = 2x-4 that goes through (3,1).





The lines slope will be -1/2 (the negative inverse of 2)





The equation will be y - 1 = -1/2(x - 3)


This is based on using the, slope, the point (3,1) and the point-slope form of the equation.





Hope this helps!
Reply:You have the equation of one line


y = mx + b





Any line that is perpendicular to it will have slope = -1/m.


Suppose you want the perpendicular to pass through a point (x₁,y₁). Then the equation for the perpendicular is


y-y₁ = (-1/m)(x-x₁)


which can be rearranged to


y = (-1/m)x + (x₁/m + y₁)
Reply:Is bascially asking you to write a formula on how to solve this question without using solid data.





That means you have to use variables only.





Lets say, I want to find the answer to C but you do not have any other numbers to work with. Explain how you can solve C.


Well...you can say....


A + B = C





The formula you derived has to be correct at all times.


Another example is Quadratic Equation ( Don't know if you have learned that already ). But it is a formula created out of no data.





In your case, you know that for any slope to exist, you need 2 points in space.


[ x1, y1 ] [ x2, y2 ].....


so to find the midpoint is [ x2 - x1, y2 - y1 ] / 2





See how I am doing this?


I am getting solution out of nothing.
Reply:If you are given a line, solve for y to find its slope and then use the negative reciprocal of that slope for a perperdicular line. After use either y = mx+b or point slope formula to write the new equation.
Reply:1) Find slope using negative reciprocal of given line's slope


2) Use formula y-y0= m(x-x0) where m= slope, x0= given x-coord, y0= given y-coord
Reply:A perpendicular line is an intersecting line that makes a 90 degree angle(right angle) A plus sign is an example of perpendicular lines. So I would make a 90 degree angle with the other line given to you.

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