Find the coordinates of all points x y that lie on the line

Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that the area of the rectangle shown in the figure below is 6 square units. Select the correct answer: A. (6,1) and (2,3) B. (3,2) only C. (6,1) only D. (1,6) and (3,2) E. (1,6) only F. (2,3) only

Solution

Answar:-

option ( D ) is the correct answar.    detail is as foffows.

Equation of the Line= 2x +y =8

Above mentioned fig(in question) show the coordinates of the rectangle point which lies in the line = (x,y)

So after putting value of x we get value of y then we can easily detect the coordinates of the line.

then these values compare with the answar which is given in the question

then we get,

two coordinated matches from the table , which are (1,6) and (3,2)

So,

the option (D): is correct. which is the answar of this question.

X	Y
6	-4
2	+4
3	+2
1	+6
1	+6
2	+4
6	-4