To find the graph that matches the linear equation \( 6x + y = -4 \), we can rearrange the equation into the slope-intercept form \( y = mx + b \).
Starting with the equation:
\[ 6x + y = -4 \]
Isolate \( y \):
\[ y = -6x - 4 \]
Now, we can identify the slope and the y-intercept from the equation:
- Slope (m): -6
- Y-intercept (b): -4 (the point where the line crosses the y-axis, which is (0, -4))
Now, look for a graph that has:
- A y-intercept at (0, -4).
- A slope of -6, which means for every 1 unit increase in \( x \), \( y \) decreases by 6 units.
If you have graphs available, you will want to select the one that matches this description. If you describe the graphs or provide the options, I can help you further identify the correct one!
1 answer