Which of the following lines runs beside and is parallel to
3x+4y −16 = 0?
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Answer:
y=34x−3
Step-by-step explanation:
Parallel lines have the same slope.
Transform the given equation to slope-intercept form
−3x+4y=4
⇒4y=3x+4
⇒y=34x+1
⇒m=34
The parallel line has the equation
y=34x+b
Use the point that the line passes through to determine the y-intercept
0=34(4)+b
−3=b
Hence, the equation of the line is
y=34x−3
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