Answer:
3x + y = b
b - any real number
Step-by-step explanation:
Parallel lines have the same slope.
We have the equation of a line in the standard form Ax + By = C.
Convert to the slope-intercept form y = mx + b
m - slope
b - y-intercept
[tex]9x+3y=-22[/tex] subtract 9x from both sides
[tex]3y=-9x-22[/tex] divide both sides by 3
[tex]y=-3x-\dfrac{22}{3}[/tex]
Therefore we have the slope m = -3.
Put it to the equation of a line:
[tex]y=-3x+b[/tex] add 3 to both sides
[tex]3x+y=b[/tex]
