equation of lines

Question

Write the equation of the line that passes through the point (3/4,1/2) and is perpendicular to the line 3x-2y=6

Answer 1

3x - 2y = 6

3x - 6 = 2y

(3/2)x - 3 = y

the slope of the given line is 3/2

the slope of the perpendicular line is -2/3

B = y - mx

= 1/2 - (-2/3)(3/4)

= 1/2 + 1/2 = 1

y = (-2/3)x + 1

y - 1/2 = (-2/3) ( x - 3/4)