Another question here .. i attempted it but did not get the correct answer.I will state the question and the steps i took as well.(adsbygoogle = window.adsbygoogle || []).push({});

QUESTION:

"A line is drawn through the point (2,3) making an angle of 45 degrees with the positive direction of the x-axis, and it meets the line x=6 at P.Find the distance of P from the origin 0, and the equation of the line through P perpendicular to 0P"

Steps i took:

1)Since i have to find out the distance of 0P i need to have the Y value of the point P. I assumed the X value is 6 (well, they tell you that anyway)

2)To work out the Y value of P i figured that it needs to be worked out by using the equation of the line (2,3). (ie substitue in an X value to the equation of the line (2,3) to get the Y value of point P)

3)However, to work out the equation of the line (2,3), i also have to know the gradient.I worked this out to be 3/2 (Is this right?)

4)Next i found the equation of the line (2,3) and then i substitued in the X value of P (6) .I found the Y-value to be 12. (Is this right?)

5)Now i work out the length of the line (0,0)(6,12) , and it comes out to be: squareroot of 180

Hmm .. im sure all of this is not needed .. i bet (hope/wish) someone will come out with a one line asnwer!

Anyway, any help whatsoever is appreciated

Regards,

Mo

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# Homework Help: Co-Ordinate Geometry

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