To complete the point-slope form of the linear equation provided, we need to determine the values for the point given in the form \(y - y_1 = m(x - x_1)\).
In your case, the equation is \(y - \text{missing value} = -3(x - 1)\). Here, \(m\) (the slope) is -3 and \(x_1\) is 1.
To find \(y_1\) (the missing value), we need a point on the line. Since the slope \(m = -3\), we know that for every increase of 1 in \(x\), \(y\) will decrease by 3.
If we assume the point is \( (1, y_1) \), we can find \(y_1\).
- If the line passes through \(x = 1\), we can evaluate it to find \(y_1\). We might typically have a point such as (1, -3) on the line, assuming it goes downward.
If you have a specific point where the line crosses, substitute it in to complete the equation. If \((1, y_1)\) gives a point part of this line, that’s typically used.
If we take \(y_1 = -3\) as the possible value, the complete equation becomes:
\[y - (-3) = -3(x - 1)\]
Thus, the missing value is \(-3\).