Question

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

Answer 1

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

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