The point-slope form of a linear equation is given by the formula:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope of the line, and \( (x_1, y_1) \) is a point on the line.
From the context, you have the equation:
\[ y - _ = -3(x - 1) \]
Here, the slope \( m \) is -3, and the \( x \)-coordinate of the point \( (x_1, y_1) \) is 1.
To complete the equation, you need the \( y \)-coordinate \( y_1 \) of the point. The equation says \( y - _ \), which means you need to find the appropriate value for \( y_1 \).
If you know the point on the graph corresponding to \( x = 1 \), you can find \( y_1 \). Let's say, for example, the value of the function at \( x = 1 \) is 2; then \( y_1 \) would be 2, and the equation would read:
\[ y - 2 = -3(x - 1) \]
Since you did not provide a specific point, I cannot give you the exact value to finish the equation. But in general, you need the \( y \)-coordinate of the point corresponding to \( x = 1 \).
If the value of \( y_1 \) (the \( y \)-coordinate at \( x_1 = 1 \)) weren't specified, just replace the underscore with the appropriate value.
So, if you had (for example) the point \( (1, 2) \):
The missing value for the equation would be \( 2 \):
Thus, the completed equation would be:
\[ y - 2 = -3(x - 1) \]