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# Perpendicular line?

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1. I've tried for about an hour but never get it, i just know that they should be equal to -1.

A(3,4),B(5,8). A line perpendicular to AB passes through the origin and through the point (6,r). Find r.

I've tried y=mx+b but nothing, can anyone help?
2. (Original post by amorae)
I've tried for about an hour but never get it, i just know that they should be equal to -1.

A(3,4),B(5,8). A line perpendicular to AB passes through the origin and through the point (6,r). Find r.

I've tried y=mx+b but nothing, can anyone help?
What is the gradient of AB?

So since you know two points on the perpendicular line (6, r) and (0,0)

Then (r-0) / (6 - 0) = -1/gradient of AB.
3. (Original post by amorae)
I've tried for about an hour but never get it, i just know that they should be equal to -1.

A(3,4),B(5,8). A line perpendicular to AB passes through the origin and through the point (6,r). Find r.

I've tried y=mx+b but nothing, can anyone help?
You use [(y2-y1)/(x2-x1)] to get the gradient of AB - let's call this m. Which is one and which is two doesn't really matter. Then do you know how to find the perpendicular gradient?
4. (Original post by Zacken)
Then (r-0) / (6 - 0) = -1/gradient of AB.
I've never thought of it in that way (all at once) before.
5. What topic does this come under?
Seen this come up a few times would be good if I could learn it.
6. (Original post by junayd1998)
What topic does this come under?
Seen this come up a few times would be good if I could learn it.
Coordinate geometry, equations of lines?

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