Answer
The graph of the equation is obtained as follows:
Work Step by Step
Calculate the slope using the given points \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( 1.7,7.4 \right)\] and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( -1.49,1.02 \right)\].
The slope of a line using two points is calculated as follows:
\[\begin{align}
& m=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}} \\
& =\frac{7.4-1.02}{1.7-\left( -1.49 \right)} \\
& =\frac{6.38}{3.19} \\
& =2
\end{align}\]
The equation of the line is given in the slope-intercept form. From that equation, the slope of the line is 2. Also, the slope of the line calculated using the two points in the line is 2.
Hence, the result is verified.
