Question

A line intersects the points (3, 2) and (4, 5). what is the slope of the line in simplest form? M=

Answer 1

The slope is 3
m= y2 - y1/ x2 - x1
m= 5-2/4-3
m= 3/1 which is 3

Answer 2

`(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{3}}} \implies \cfrac{ 3 }{ 1 } \implies \text{\LARGE 3}`