Slope from a Graph, Table, and Equation
One line, y = 2x + 1, shown as a coordinate graph with rise and run marked, an x/y table of points, and the equation itself, so slope reads the same whether it comes from a picture, a list of numbers, or a formula.
From a graph
From a table
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| y | 1 | 3 | 5 | 7 |
From an equation
y = 2x + 1
m (slope) = 2 · b (y-intercept) = 1
How to use this chart
- Show all three representations of the same line before asking students to find slope from just one of them; the graph, table, and equation should feel like three views of one idea, not three separate skills.
- On the graph, always count run (horizontal) before rise (vertical), and always move left to right, so the sign of the slope comes out correctly.
- On the table, point out that slope is the change in y divided by the change in x between any two rows, not just the two the poster highlights.
Where this chart is taught
Teaching units