How to Graph the Equation y = 2x + 8

In this video, we'll draw the graph for y = 2x + 8. You may also see this written as f(x) = 2x + 8. First, we will use a table of values to plot points on the graph. Once we have two or three points, we can draw our line for the linear equation. You can choose any values of x for your table; however, 0, 1, and -1 are usually good choices since they will help create points that fit well on your graph paper. We can also use the slope-intercept form to understand the graph better. In this form, the equation is written as y = mx + b, where: m represents the slope, which in this case is 2. b represents the y-intercept, which is 8. The slope of 2 means that for every 1 unit you move to the right on the x-axis, you move up 2 units on the y-axis. This gives you the rise-over-run ratio for drawing the line. Start by plotting the y-intercept, which is at 8 on the y-axis. Then, using the slope of 2, move up 2 units and to the right 1 unit from the y-intercept to plot another point. Repeat this process to add more points and create an accurate line. I prefer to use the slope-intercept formula since it is efficient with some practice. Then, I'll verify that the plotted points align with y = 2x + 8. If they don't, there might be an error. When graphing equations, it's helpful to have them in slope-intercept form (y = mx + b), as demonstrated in this video.