1 . Writing the slope intercept equation. Let us use 2 points as follows to find the slope which are (2, 1)(1, 3)
[tex]\begin{gathered} m=\text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{3-1}{1-2} \\ m=\frac{2}{-1} \\ m=-2 \\ \\ m=\frac{y-y_1}{x-x_1} \\ m=\frac{y-1}{x-2} \\ -2(x-2)=y-1 \\ -2x+4=y-1 \\ y=-2x+4+1 \\ y=-2x+5 \end{gathered}[/tex]
2. slope = 2 and the point are (-8, 5)
[tex]\begin{gathered} 2=\frac{y-5}{x+8} \\ 2(x+8)=y-5 \\ 2x+16=y-5 \\ 2x+16+5=y \\ y=2x+21 \end{gathered}[/tex]
3. The point are (2, 6)(-8, 1)
[tex]\begin{gathered} m=\frac{1-6}{-8-2} \\ m=\frac{-5}{-10} \\ m=\frac{1}{2} \\ \\ m=\frac{y-6}{x-2} \\ \\ m(x-2)=y-6 \\ \frac{1}{2}(x-2)=y-6 \\ \frac{1}{2}x-1=y-6 \\ \frac{1}{2}x-1+6=y \\ y=\frac{1}{2}x+5 \end{gathered}[/tex]
