What is the slope of the line that cuts through the points (1,2) and (5,4)

Answer:[tex]slope=\frac{1}{2}[/tex]Step-by-step explanation:Use the following equation:[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]Rise over run is the change in the y-axis over the change of the x-axis, otherwise known as the slope.Insert the values:[tex](1_{x1},2_{y1})\\(5_{x2},4_{y2})[/tex][tex]\frac{4-2}{5-1}=\frac{2}{4} =\frac{1}{2}[/tex]The slope is [tex]\frac{1}{2}[/tex].:Done