Question

Which of the following lines runs beside and is parallel to
3x+4y −16 = 0?

Answer 1

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