Write an equation of the line containing the given point and perpendicular to the given line. ? (0? ,2? ); 9x+2y=3

The required equation is .

Step-by-step explanation:

The equation of the given line is

If a line is defined as , then slope of the line is

In the given equation a=9 and b=2. Slope of the line is

Product of slopes of two perpendicular line is -1.

Let the slope of required line be .

Slope of required line is and it passes through the point (0,2). It means the y-intercept of the line is 2.

The slope intercept form of a line is

where, m is slope and b is y-intercept.

Substitute m=2/9 and b=2 in the above equation.

Therefore the required equation is .

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