Write an equation that is parallel to the line 3x -2y = 5 and passes through the point (1,2).

A. y = 3/2x + 2
B. y = -2/3x + 3
C. y = 3/2x+ 1/2
D. y = -3/2x + 1/2

Respuesta :

Answer:

The answer to your question is: letter C:   y = 3/2x + 1/2

Step-by-step explanation:

Data

Parallel to 3x - 2y = 5

Point = (1, 2)

Get the slope

                         -2y = -3x + 5

                             y = -3/-2 x - 5/2

                             y = 3/2 x - 5/2

slope = 3/2

Equation

                       (y - y1) = m (x - x1)

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

                         y -2 = 3/2 x  - 3/2

                         y  = 3/2 x - 3/2 + 2

                        y = 3/2x + 1/2