Write a Linear Equation From a Slope and One Point - Exit Ticket

It’s time to show what you’ve learned with this Exit Ticket – Write a Linear Equation from a Slope and One Point! In this activity, you’ll use your understanding of slope and points on a graph to create a complete linear equation. This exit ticket gives you the perfect chance to test your skills and prove you know how to connect math concepts into one clear idea.

Each problem will guide you through writing equations step by step. You’ll start with a given slope (the rate of change) and one point (x, y), and then use the point-slope formula — y – y₁ = m(x – x₁) — to build your equation. From there, you’ll simplify it into slope-intercept form (y = mx + b). Every equation you create strengthens your understanding of how algebra describes relationships between variables.

As you work, you’ll notice how the slope affects the direction of your line — upward for positive slopes and downward for negative ones. You’ll also see how changing the point shifts the line up, down, or sideways on a graph. This helps you visualize how equations translate directly into real-world relationships.