To find the equation of a line in the form \( y = mx + b \), we need to identify the slope \( m \) and the y-intercept \( b \).
From the information you provided, we know one point on the graph is \( (0, -3) \). Since the x-coordinate is 0, this point is the y-intercept. Therefore, we can determine that:
- The y-intercept \( b = -3 \).
However, since you mentioned that the graph is a "curved line going downward," this suggests that the relationship between \( x \) and \( y \) is not linear (as indicated by the linear equation template \( y = mx + b \)). Instead, it may represent a quadratic or some other type of function.
To provide a specific equation, we need more information, such as additional points on the curve or the type of curve (e.g., quadratic, exponential, etc.).
If it's a parabolic function, for example, it could look like:
\[ y = ax^2 - 3 \]
where \( a \) would determine whether the curve opens upwards or downwards.
If you provide more points or context about the curve, I can help formulate a more precise equation.
1 answer