which is the graph of y - 3 = -\\frac{2}{3}(x + 6)?

Explanation:

Step1: Rewrite in slope - intercept form

First, expand and simplify $y - 3=-\frac{2}{3}(x + 6)$. $y-3=-\frac{2}{3}x-4$. Then add 3 to both sides: $y=-\frac{2}{3}x - 1$.

Step2: Find the y - intercept

When $x = 0$, $y=-\frac{2}{3}(0)-1=-1$. So the y - intercept is $(0,-1)$.

Step3: Find the x - intercept

When $y = 0$, $0=-\frac{2}{3}x-1$. Add 1 to both sides: $1=-\frac{2}{3}x$. Multiply both sides by $-\frac{3}{2}$, we get $x =-\frac{3}{2}$.

Step4: Check the graph

We look for a line with y - intercept at $(0,-1)$ and has a negative slope of $-\frac{2}{3}$.

Answer:

The graph with y - intercept at $(0,-1)$ and a negative slope. (Since no specific graph is labeled as correct among the options you provided in text - only shown as images, you would identify the graph with these characteristics from the given choices).