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The equation a parallel line will be:

Hence, option B is correct.

Step-by-step explanation:

Given the equation

Writing the line into the slope-intercept form

where m is the slope and b is the y-intercept

so

Dividing both sides by 6

comparing with the slope-intercept form

Thus, the slope of the line = m = 4/3

We know that the parallel lines have the same slope.

Thus, the slope of the parallel line is also 4/3

Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (6, -1)

Subtract  1 from both sides

Thus, the equation a parallel line will be:

Hence, option B is correct.