How to Graph the Equation y = 2x + 5 (Using a Table of Values)

How to Graph the Equation y = 2x + 5 (Using a Table of Values) To graph the equation y = 2x + 5 using a table of values, follow these steps: 1. *Set up a Table of Values:* Choose a range of x-values (e.g., -3, -2, -1, 0, 1, 2, 3). For each x-value, calculate the corresponding y-value using the equation y = 2x + 5. 2. *Calculate y-values:* For x = -3, y = 2(-3) + 5 = -6 + 5 = -1 For x = -2, y = 2(-2) + 5 = -4 + 5 = 1 For x = -1, y = 2(-1) + 5 = -2 + 5 = 3 For x = 0, y = 2(0) + 5 = 0 + 5 = 5 For x = 1, y = 2(1) + 5 = 2 + 5 = 7 For x = 2, y = 2(2) + 5 = 4 + 5 = 9 For x = 3, y = 2(3) + 5 = 6 + 5 = 11 Your table should look like this: | x | y | | --- | ---- | | -3 | -1 | | -2 | 1 | | -1 | 3 | | 0 | 5 | | 1 | 7 | | 2 | 9 | | 3 | 11 | 3. *Plot the Points on a Graph:* On a graph, plot the points (x, y) from the table: (-3, -1), (-2, 1), (-1, 3), (0, 5), (1, 7), (2, 9), and (3, 11). Mark the points and draw a straight line through them, since the equation represents a linear relationship. 4. *Label the Axes:* Make sure to label your x-axis and y-axis with appropriate numbers and units if needed. That's it! You've now graphed the equation y = 2x + 5 using a table of values.