Create a Linear Equation from a Pair of Points

Discover how two simple points can tell a powerful mathematical story in this Create a Linear Equation from a Pair of Points playsheet! Here, you’ll learn how to use two coordinate points to form a linear equation — the foundation for understanding graphs, motion, and relationships in algebra.

Each problem will guide you step by step: first, you’ll calculate the slope (m) using the formula

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2​−x1​y2​−y1​​

Then, using one of your points and the slope, you’ll plug the values into the point-slope form

y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1​=m(x−x1​)

to create your linear equation. Finally, you’ll simplify it into slope-intercept form (y = mx + b) — the standard way to express any straight line.