Question

The equation of a function is y=−7x−12
𝑦
=
−
7
𝑥
−
12

Answer 1

The equation you've provided is in the form of a linear function, specifically:

\[ y = -7x - 12 \]

Here's a breakdown of the components of the function:

1. **Slope**: The coefficient of \( x \) is -7, which indicates that the slope of the line is -7. This means that for every unit increase in \( x \), the value of \( y \) decreases by 7 units.

2. **Y-intercept**: The constant term is -12, which indicates that the line crosses the y-axis at the point (0, -12).

3. **Intercepts**:
- **Y-intercept**: As mentioned, this is at (0, -12).
- **X-intercept**: To find the x-intercept, you set \( y = 0 \) and solve for \( x \):
\[
0 = -7x - 12 \\
7x = -12 \\
x = -\frac{12}{7}
\]
So the x-intercept is at \(-\frac{12}{7}, 0\).

4. **Graph**: The graph of this function is a straight line that declines from the left to the right, reflecting the negative slope.

If you have specific questions about this function or need further analysis, feel free to ask!