For this case we must indicate the graph of the following equation:
[tex]-6x-9y = 54[/tex]
Adding 6x to both sides we have:
[tex]-9y = 54 + 6x[/tex]
Dividing between -9 on both sides:
[tex]y = \frac {54} {-9} + \frac{6x} {-9}\\y = -6 - \frac {2} {3} x[/tex]
For an equation of the form[tex]y = mx + b[/tex], the slope is given by "m" and the point of intersection with the y axis is "b".
In this case we have that[tex]b = -6[/tex] and[tex]m = -\frac {2} {3}[/tex]. The slope is negative. So, the corresponding graph is option A
Answer:
Option A
