## Precalculus (6th Edition) Blitzer

We will calculate the slope at two points that are $\left( {{x}_{1}},{{y}_{1}} \right)=\left( 1,-1.25 \right)$ and$\left( {{x}_{2}},{{y}_{2}} \right)=\left( 4,1 \right)$ The slope of the line passing through the two points is calculated by the following formula: \begin{align} & m=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}} \\ & =\frac{-1.25-1}{1-4} \\ & =0.75 \end{align} The equation of the line is given in the slope-intercept form. From that equation, the slope of the line is$0.75$ Also, the slope of the line calculated using the two points in the line is $0.75$