To graph a linear equation, first, we need to change it into a special format called slope-intercept form. This looks like this:

y = mx + b

Here, m is the slope, and b is the y-intercept.

Let’s break it down into simple steps:

1. Find the y-intercept (b):

   • This is the point where the line crosses the y-axis.
   • To find it, plot the point at (0, b) on your graph.

2. Use the slope (m):

   • The slope tells us how steep the line is.
   • From the y-intercept point, you can find another point by using the slope.
   • “Rise over run” means you go up or down (rise) and then go right or left (run).
   • For example, if the slope (m) is 2, you would go up 2 units and right 1 unit.

Finally, connect the dots you’ve made with a straight line.

Understanding the slope helps you see how things change steadily. For example, it can show how fast something is moving or how costs increase.