How to Graph the Equation y = 2x + 1 (Using Slope Intercept Form)

How to Graph the Equation y = 2x + 1 (Using Slope Intercept Form) To graph the equation y = 2x + 1 using slope-intercept form, follow these steps: Step 1: Identify the slope and y-intercept The equation is in the slope-intercept form y = mx + b, where: *m* is the slope, and *b* is the y-intercept. In the equation y = 2x + 1: The *slope (m)* is 2. The *y-intercept (b)* is 1. Step 2: Plot the y-intercept The y-intercept is 1, meaning the line crosses the y-axis at the point (0, 1). Plot this point on the graph. Step 3: Use the slope to find another point The slope is 2, which means the line rises 2 units for every 1 unit it moves to the right. This can be written as a fraction: 2/1. Starting from the point (0, 1), move 1 unit to the right (x = 1) and 2 units up (y = 3), so plot the point (1, 3). Step 4: Draw the line Now that you have two points, (0, 1) and (1, 3), draw a straight line through these points. This is the graph of the equation y = 2x + 1. Step 5: Label the equation Make sure to label the equation of the line on the graph: y = 2x + 1. Result: The graph is a straight line that passes through the point (0, 1) and has a slope of 2, meaning it rises 2 units for every 1 unit it moves to the right.