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

Answer

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Answer

\boxed{y = \frac{3}{2}x - 1}

Steps

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}