Answer:
The answer is
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the perpendicular line we must first find the slope of the original line
From the question the original line is
2x - 3y = 3
Write the equation in the general form above
That's
3y = 2x - 3
y = 2/3x - 1
Comparing with the general equation above
Slope = 2/3
Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line
Slope of perpendicular line = - 3/2
So the Equation of the line using point
( 1 , 2) and slope - 3/2 is
[tex]y -2 = - \frac{3}{2} ( x - 1) \\ 2y - 4 = - 3(x - 1) \\ 2y - 4 = - 3x + 3 \\ 3x + 2y - 4 - 3 = 0[/tex]
We have the final answer as
[tex]3x + 2y = 7[/tex]
Hope this helps you
