# geometry

posted by .

The graphs y=2x+1 and 2y+x=2 contain 2 sides of a rectangle.if 1 vertex of the rectangle has coordinates (6,3), draw the rectangle.

• geometry -

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.

## Similar Questions

1. ### Geometry

The diagonals of rectangle ABCD are AC and BD. Hallie found that the distances from the point where the diagonals intersects to each vertex were the same. Which of the following conjectures could she make?
2. ### Alg II

I have a rectangle whose sides are in the proportion b:a, where b is the longer side. I draw a line parallel to a inside the rectangle in order to break it up into a square with sides of length a and a second rectangle. Amazingly, …
3. ### geometry

The perimeter of the rectangle is 19 inches. The perimeter of the inscribed triangle is also 19 inches. What is the width of the rectangle?
4. ### geometry

A rectangle measures 6 inches in length by 9 inches in width. If the rectangle will be enlarged by 250%, what will be the lengths of the sides of the new rectangle?
5. ### Calculus

A rectangle in the first quadrant has one vertex as the origin, and other vertex on the curve y= -x^2 -2x +4. If the rectangle has one side lying on the x-axis, find the largest possible area of the rectangle.
6. ### Math

Points J and K, plotted on the coordinate grid, are two vertices of rectangle JKLM. Rectangle JKLM has an area of 7 square units. Point J is located at (2, 1) and point K is located at (-5,1) each vertex of the rectangle is located …
7. ### Math

Points J and K, plotted on the coordinate grid, are two vertices of rectangle JKLM. Rectangle JKLM has an area of 7 square units. Point J is located at (2, 1) and point K is located at (-5, 1). Each vertex of the rectangle is located …
8. ### Geometry

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the …
9. ### Mathematics

A rectangle has vertices at (6,2,), (6, -6,), (-1, 2). Write the coordinates of the fourth vertex and find the area and perimeter of the rectangle (Please help, I'm really confused by these.)
10. ### Mathematics

A rectangle has vertices at (6,2,), (6, -6,), (-1, 2). Write the coordinates of the fourth vertex and find the area and perimeter of the rectangle (Please help, I'm really confused by these.)

More Similar Questions