Question

Which graph matches the linear equation: 6x+y=−4(1 point)
Responses

Answer 1

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:

1. A y-intercept at (0, -4).
2. 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!