Answer:
B. y = 6x -4
C. 12 -2y = -4
Explanation:
You want the equations of lines parallel to y = 6x -3.
Parallel lines
Parallel lines have the same slope. When the equation is written in slope-intercept form the slope is the coefficient of x. Parallel lines will have an x-coefficient of 6.
A. y = -6x ...
The coefficient of x is not 6. This line is not parallel.
B. y = 6x - ...
The coefficient of x is 6. This line is parallel.
C. 12x - ...
Solving for y gives ...
-2y = -12x -4
y = 6x +2
The coefficient of x is 6. This line is parallel.
D. 6y = ...
Solving for y gives ...
y = -1/6x +5/6
The coefficient of x is not 6. This line is not parallel. (It is perpendicular.)
E. 12x + ...
Solving for y gives ...
2y = -12x -4
y = -6x -2
The coefficient of x is not 6. This line is not parallel.
Choices B and C are equations of parallel lines.
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