Which equation represents a line which is parallel to the line 3x - 4y = 28? Explain your choice using words. You must also show your work that leads to your answer.

Question

1)y=-4/3x+6

2) y = 4/3x+8

3)y =3/4x-2

4)y=-3/4x-5

Answer 1

3x - 4y = 28 Is the given equation

in standard form y= ax+b

-4y = -3x+28

4y =3x-28

or y= 3/4 x -7

So a= 3/4 = slope and -7 is y intercept ( parallel lines have same slope)

Equation 3 is

y= 3/4x-2

which also has slope = 3/4 and y intercept = -2

Parallel lines have same slope

Similarly a perpendicular line will have slope of - 1/a

For equation

y= ax+b

Perpendicular line is

y=( -1/a) x +c