SOLUTION: Which choice could be the equation of a line parallel to the line represented by this equation? 3x− 2y = 6 A. 2x− 3y = 6 B. y=3/2x+4 C. 5x&#8722

Algebra ->  Linear-equations -> SOLUTION: Which choice could be the equation of a line parallel to the line represented by this equation? 3x− 2y = 6 A. 2x− 3y = 6 B. y=3/2x+4 C. 5x&#8722      Log On


   

Question 463032: Which choice could be the equation of a line parallel to the line represented by this equation?
3x− 2y = 6

A. 2x− 3y = 6


B. y=3/2x+4

C. 5x− y = −2


D. y=2/3x-8


Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have equal slopes.
Therefore, it will be one with the same slope.

Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept

3x - 2y = 6
-2y = -3x + 6 {subtracted 3x from both sides}
y = 3/2x - 3 {divided both sides by -2}
slope = 3/2

B.) y = 3/2x + 4 {has the same slope as this line}
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