To find the linear equation in point-slope form, we can use the point-slope formula, which is given as:
\[ y - y_1 = m(x - x_1) \]
Where \( (x_1, y_1) \) is a point on the line, and \( m \) is the slope of the line.
From your input, it appears you already have:
\[ y - \text{missing value} = -3(x - 1) \]
In this case, \( m = -3 \) and \( (x_1, y_1) = (1, \text{missing value}) \).
To complete the point-slope form, we need the value of \( y_1 \).
- Identify the point on the graph where \( x = 1 \) (the value you have).
- From the graph, determine the corresponding \( y \)-value when \( x = 1 \).
If you know the point on the graph corresponding to \( x = 1 \), simply substitute this \( y \)-value as \( y_1 \).
Once you have \( y_1 \), the missing value in your equation can be filled in.
For example, if you determine from the graph that when \( x = 1 \), \( y = 2 \), then the missing value would be 2, and the complete equation would be:
\[ y - 2 = -3(x - 1) \]
Since I am unable to see the image, you would need to provide either the \( y \)-coordinate that corresponds with \( x = 1 \) or describe the graph further to determine the missing value.