\[\begin{array}{rl}m=\frac{y_2-y_1}{x_2-x_1}&\text{We will plug values into slope formula} \\ \frac{2}{5}=\frac{6-2}{x-(-3)}&\text{Simplify} \\ \frac{2}{5}=\frac{4}{x+3}&\text{Multiply both sides by }...\[\begin{array}{rl}m=\frac{y_2-y_1}{x_2-x_1}&\text{We will plug values into slope formula} \\ \frac{2}{5}=\frac{6-2}{x-(-3)}&\text{Simplify} \\ \frac{2}{5}=\frac{4}{x+3}&\text{Multiply both sides by }x+3 \\ \color{blue}{(x+3)}\color{black}{}\cdot\frac{2}{5}=\frac{4}{x+3}\cdot\color{blue}{(x+3)}\color{black}{}&\text{Simplify} \\ \frac{2}{5}(x+3)=4&\text{Distribute} \\ \frac{2}{5}x+\frac{6}{5}=4&\text{Multiply by the LCD }=5 \\ \color{blue}{5}\color{black}{}\cdot\frac{2}{5}x+\color{blue}{5}\color…
