what is the graph of 3x + 5y = -15?

Explanation:

Step1: Rewrite in slope - intercept form

First, solve $3x + 5y=-15$ for $y$. Subtract $3x$ from both sides: $5y=-3x - 15$. Then divide by 5: $y =-\frac{3}{5}x-3$.

Step2: Identify slope and y - intercept

The slope $m =-\frac{3}{5}$ and the y - intercept $b=-3$. The y - intercept is the point $(0, - 3)$. Using the slope, from the point $(0,-3)$, if we move 5 units to the right (increase $x$ by 5), we move 3 units down (decrease $y$ by 3) to get to the point $(5,-6)$. Also, if we move 5 units to the left (decrease $x$ by 5), we move 3 units up (increase $y$ by 3) to get to the point $(-5,0)$.

Answer:

The graph is a straight - line with a slope of $-\frac{3}{5}$ and a y - intercept of - 3. It passes through the points $(0,-3)$ and $(-5,0)$. (You would need to visually identify the correct graph among the options based on these characteristics. The line should be decreasing from left to right and cross the y - axis at $y =-3$).