Graphing linear equations in slope-intercept form is simple, and it can actually be fun once you understand it!

The slope-intercept form looks like this:
y = mx + b

In this equation, m is the slope, and b is the y-intercept. Let's break it down step by step:

1. Find the Slope and Intercept:
Look at your equation and find the values for m and b.
For example, in the equation y = 2x + 3:

• The slope (m) is 2.
• The y-intercept (b) is 3.
  This means the line crosses the y-axis at the point (0, 3).

2. Plot the Y-Intercept:
Start your graph by marking the point where the line crosses the y-axis.
Using our example, place a point at (0, 3).

3. Use the Slope to Find Another Point:
The slope helps you know how to move from the y-intercept.
If m = 2, it means you go up 2 units for every 1 unit you go right.
So, from (0, 3), move up 2 and over 1 to find your next point at (1, 5).

4. Draw the Line:
Once you have at least two points, connect them with a straight line.
Make sure to extend the line in both directions.

And that’s it! With more practice, you’ll get faster at this. Just remember, the more you graph, the easier it is to see how these equations work!