Which is the equation of a line that is parallel to -3x + 4y = 4 and passes through the point (4,0)?

Question

A. y = 4/3x + 3

B. y = −3/4x −3

C. y = 4x + 3

D. y = 3/4x − 3

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Answer 1 · 2017-01-15T04:52:51

D. #y = 3/4x - 3#

Parallel lines have the same slope.
Transform the given equation to slope-intercept form

#-3x + 4y = 4#

#=> 4y = 3x + 4#

#=> y = 3/4x + 1#

#=> m = 3/4#

The parallel line has the equation

#y = 3/4x + b#

Use the point that the line passes through to determine the y-intercept

#0 = 3/4(4) + b#

#-3 = b#

Hence, the equation of the line is

#y = 3/4x -3#