Posted by joe on Wednesday, January 11, 2012 at 9:54am.
y = 2x + 1
and
2y + x = 2
2y = -x + 2
y =(-1/2)x + 1 , both have the same y-intercept of (0,1)
So one vertex of the rectangle is (1,0)
Pick any other point on each of the lines and draw the lines
since the slopes of the two lines are negative reciprocals of each other you must have a 90° angle at (1.0)
So all you have to do is create the two lines through (6,3) that have slopes of 2 and -1/2.
1st line: from (6,3) step 1 to the right, then up 2
mark that point, draw line through (6,3) and extend
2nd line: from (6,3) step -2 to the left, then up 1, mark that point, draw the line through 6,3.
There is your rectangle!
Related Questions
Optimization (Math) - The mayor of a village wants to build a library of which ...
math - points P(4,12), Q(9,14), and R(13,4)are the three vertices of a rectangle...
Geometry - The diagonals of rectangle ABCD are AC and BD. Hallie found that the ...
geometry - A rectangle measures 6 inches in length by 9 inches in width. If the ...
geometry - The perimeter of the rectangle is 19 inches. The perimeter of the ...
GeOmEtRy!!! - The area of a rectangle is (6x^2)^2y^3 and the width is 9xy^2. ...
math - A Norman window has the shape of a rectangle surmounted by a semicircle...
geometry - rectangle a is similar to smaller rectangle b. the scale factor is 5/...
geometry - In rectangle ABCD, if the coordinates of A are (0, 0) and the ...
geometry - A rectangle has a diagonal 20 inches long that forms angles of 60 and...
For Further Reading
