SOLUTION: Point P is 10 units from the origin. The slope of the line passing through P and the origin is 3. IF P is in the first quadrant, find its coordinates in simplified radical form.

Algebra.Com
Question 186466: Point P is 10 units from the origin. The slope of the line passing through P and the origin is 3. IF P is in the first quadrant, find its coordinates in simplified radical form.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Point P is 10 units from the origin. The slope of the line passing through P
and the origin is 3. IF P is in the first quadrant,
find its coordinates in simplified radical form.
:
Solve this as right triangle, where x = horizontal leg; 3x = vertical leg; hypotenuse = 10
(slope = 3; rise/run)
:
x^2 + (3x)^2 = 10^2
x^2 + 9x^2 = 100
10x^2 = 100
x^2 =
x^2 = 10
x =
:
Coordinates; x = ; y =

RELATED QUESTIONS

The distance of a point P(h,k) from a pair of straight lines passing through origin is... (answered by robertb)
Find the coordinates of a point P if P is one unit from Q(-5,-12) along the line from the (answered by Edwin McCravy)
what is the slope of a line passing through the points (11,-2) and the... (answered by Alan3354,MathLover1,richard1234)
A line passing through the origin has slope -3. Determine the value of a, if the line is... (answered by checkley75)
What is the slope of a line that passes through the origin and the point... (answered by Fombitz)
The lines y = 3x - 25 and y = -3/4x + 17 intersect at point P. How far is P from the... (answered by MathLover1)
which point is further from the origin p(8,1)... (answered by funmath)
Hello, please help me solve: A first line in the xy-plane is given by y= 2x-1 and a... (answered by MathTherapy)
In the xy plane line l passes through the origin and is perpendicular to the line 4x+y=k, (answered by Alan3354,Edwin McCravy)