Question

Which equation hasd a graph parallel to the graph of 9x+3y=-22

Answer 1

3x + y = b

b - any real number

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

`9x+3y=-22` subtract 9x from both sides

`3y=-9x-22` divide both sides by 3

`y=-3x-(22)/(3)`

Therefore we have the slope m = -3.

Put it to the equation of a line:

`y=-3x+b` add 3 to both sides

`3x+y=b`