document.write( "Question 1141045: Point is the point (2,5) and Q is (6,0).
\n" ); document.write( "A line L is drawn through P perpendicular to PQ to meet the y-axis at point R.
\n" ); document.write( "1) Find the equation of line L
\n" ); document.write( "2) Find the coordinates of point R
\n" ); document.write( "3) Find the area of triangle OPR
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Algebra.Com's Answer #761713 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "1) equation of line L

\n" ); document.write( "The slope of the line through P and Q is -5/4; the slope of a line perpendicular to that line is 4/5. Given a perpendicular through P, you have a point and a slope which you can use with either the slope-intercept or point-slope form of a linear equation to find the equation of line L.

\n" ); document.write( "2) coordinates of point R (x-intercept of line L)

\n" ); document.write( "In the equation from part 1, set y=0 and solve for x.

\n" ); document.write( "3) area of triangle QPR (not OPR)

\n" ); document.write( "The base is QR; since QR is on the x-axis, the height of the triangle is the y coordinate of P. Use area = one-half base times height.
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