Question

#6 please!!! The point whose coordinates are (4,-2) lies on a line whose slope is 3/2. The coordinates of another point on this line could be

Answer 1

`(\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \boxed{(\stackrel{x_2}{6}~,~\stackrel{y_2}{1})} ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{4}}} \implies \cfrac{ 1 +2 }{ 2 } \implies \cfrac{ 3 }{ 2 }`