9x - 2y = 11

9x-2y=11.

This is a linear equation involving two varibles x and y.

It represents a straight line , if we plot the values of x and y.

To find the y value for any given x value, we change the equation  by adding equal quantity or dividing the same number both sides:

9x-2y+2Y-11=11+2y-11 or

2y=9x-11 . Divide both sides by 2 to get,

y=(1/2)(9x-11).Now,giving various values to x we get the corresponding values of y satisfying the equation:

x         values:      0 1     2       3       4        5

y=(1/2)(9x-11):  -5.5 -1    3.5     8     12.5     17

If we plot the above values,we observe  that this equation represents a straight line and the pair of coordinates of any point on this line (or the line extended both sides )represents many solutions of the given equation.

The line has a slope of 9/2,which means for every unit  increment in x, there is an increment of  4.5 in y.

Intercepts: Put y=0 in the equation:9x- 2*0=-11.Then 9x=-11. So, x=-11/9. |||rly when x=0 , y=-5.5. The line 9x-2y=11, inercepts the lx axis at = -11/9 and the y axis at -5.5.