Answer
The graph thus obtained is as follows
Work Step by Step
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 \[0.75\]
