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

How to Graph the Equation y = 2x + 2 (Using a Table of Values) Graphing the Equation y = 2x + 2 (Using a Table of Values) **Equation in Slope-Intercept Form**: y = mx + b Where: m = slope b = y-intercept **Given Information**: Slope (m) = 2 Y-intercept (b) = 2 **Equation of the Line**: y = 2x + 2 **Steps to Graph Using a Table of Values**: 1. *Create a Table* of values for x and calculate the corresponding y-values. Choose several values for x, such as -2, -1, 0, 1, and 2. | x | y = 2x + 2 | |----|------------| | -2 | y = 2(-2) + 2 = -4 + 2 = -2 | | -1 | y = 2(-1) + 2 = -2 + 2 = 0 | | 0 | y = 2(0) + 2 = 0 + 2 = 2 | | 1 | y = 2(1) + 2 = 2 + 2 = 4 | | 2 | y = 2(2) + 2 = 4 + 2 = 6 | 2. **Plot the Points**: From the table of values, plot the points: (-2, -2), (-1, 0), (0, 2), (1, 4), and (2, 6). 3. **Draw a Straight Line**: Once you have plotted the points, draw a straight line through them. **Graph Summary**: The graph is a straight line with a slope of 2 (meaning the line rises by 2 units for every 1 unit moved to the right) and a y-intercept of 2 (where the line crosses the y-axis).