Answer:
y=51−9x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=6−9x.
The slope of the parallel line is the same: m=−9.
So, the equation of the parallel line is y=−9x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−9)⋅(6)+a.
Thus, a=51.
Therefore, the equation of the line is y=51−9x.