What is the equation of the straight line through these 3 points? $(2,2),(4,5),(6,8)$ \[ \begin{array}{l} y=\frac{3}{2} x-1 \\ y=\frac{2}{3} x+\frac{2}{3} \\ y=\frac{3}{2} x-3 \\ y=\frac{2}{3} x-1 \end{array} \]

Step 1 ：Find the slope: m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{5 - 2}{4 - 2}\) = \(\frac{3}{2}\)

Step 2 ：Find the y-intercept: Plug in one of the points (2,2) into the equation y = mx + b: 2 = \(\frac{3}{2}\)(2) + b, solve for b: b = -1

Step 3 ：\boxed{y = \frac{3}{2}x - 1}