Question

Graph -6x-9y=54

A
B
C
D

Answer 1

A.

Explanation:

The slope would be -2/3 and the y-intercept is -6

Answer 2

For this case we must indicate the graph of the following equation:

`-6x-9y = 54`

Adding 6x to both sides we have:

`-9y = 54 + 6x`

Dividing between -9 on both sides:

`y = \frac {54} {-9} + \frac{6x} {-9}\\y = -6 - \frac {2} {3} x`

For an equation of the form
`y = mx + b`, the slope is given by "m" and the point of intersection with the y axis is "b".

In this case we have that
`b = -6` and
`m = -\frac {2} {3}`. The slope is negative. So, the corresponding graph is option A

Answer:

Option A