The slope is denoted by "m".
Formula:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Find the slope:
1.)
[tex]x1 = 4 \\ y1 = 5 \\ x2 = 10 \\ y2 = 7 \\ m = \frac{7 - 5}{10 - 4} \\ m = \frac{2}{6} \: \: or \: \: \frac{1}{3} [/tex]
2.)
[tex]x1 = - 6 \\ y1 = 5 \\ x2 = - 2 \\ y2 = 2 \\ m = \frac{2 - 5}{ - 2 - ( - 6)} \\ m= - \frac{ 3}{4} [/tex]
3.)
[tex]x1 = - 3 \\ y1 = - 6 \\ x2 = - 8 \\ y2 = 3 \\ m = \frac{3 - ( - 6)}{ - 8 - ( - 3) } \\ m = \frac{9}{ - 5} \: \: or \: \: - 1 \frac{4}{5} [/tex]
4.)
[tex]y = mx + b \\ 3x + 2y = 5 \\ 2y = - 3x+ 5 \\ y = - \frac{3}{2} x + \frac{5}{2} \\ \\ m = - \frac{3}{2} [/tex]
5.)
[tex]y = mx + b \\ \\ 6x - 3y = 12 \\ - 3y = - 6x + 12 \\ y = \frac{ - 6}{ - 3} x + \frac{12}{ - 3} \\ y = 2x - 4 \\ \\ m = 2[/tex]
