Step 1 :We are given a point (-3,7) and a slope of 2/3. We are asked to find the equation of the line that passes through this point and has this slope.
Step 2 :We can use the point-slope form of a line, which is \(y - y_1 = m(x - x_1)\), where \(m\) is the slope and \((x_1, y_1)\) is the given point.
Step 3 :Substituting the given values into the equation, we get \(y - 7 = \frac{2}{3}(x + 3)\).
Step 4 :Solving for \(y\), we get \(y = \frac{2}{3}x + 9\).
Step 5 :So, the missing value in the equation \(y = \frac{2}{3}x + b\) is \(\boxed{9}\).