Step 1 :The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. We are given the slope \(m = 2\) and a point \((x_1, y_1) = (2, 3)\) that lies on the line. We can substitute these values into the equation to solve for \(b\). Once we have the value of \(b\), we can write the equation of the line.
Step 2 :After running this code, we should get the equation of the line. \(m = 2, b = -1\). The equation of the line is \(y = 2x - 1\).
Step 3 :Now, we can plot this line using matplotlib in Python.
Step 4 :After running this code, we should see a graph of the line \(y = 2x - 1\).
Step 5 :Final Answer: The equation of the line is \(\boxed{y = 2x - 1}\).