Problem

Graph the equation $y=\frac{2}{3} x-1$.

Solution

Step 1 :Import matplotlib and numpy libraries.

Step 2 :Generate a range of x values from -10 to 10.

Step 3 :Calculate the corresponding y values using the equation \(y=\frac{2}{3} x-1\).

Step 4 :Plot these points using matplotlib's plot function.

Step 5 :Show the graph using the show function.

Step 6 :The graph of the equation \(y=\frac{2}{3} x-1\) is a straight line with a slope of \(\frac{2}{3}\) and a y-intercept of -1.

Step 7 :The line increases as x increases, indicating a positive correlation between x and y.

Step 8 :The line crosses the y-axis at -1, indicating that when x is 0, y is -1.

Step 9 :\(\boxed{\text{The final answer is the graph of the equation } y=\frac{2}{3} x-1}\)

From Solvely APP
Source: https://solvelyapp.com/problems/4uFJcpRIXT/

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