Question

explaining how to find slope from a table
in your own words, explain the steps you would need to
take to find slope from data in a table.

Explanation:

To find the slope from a table, first, identify two ordered pairs \((x_1, y_1)\) and \((x_2, y_2)\) from the table. Then, use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Calculate the difference in the \(y\)-values (\(y_2 - y_1\)) and the difference in the \(x\)-values (\(x_2 - x_1\)), and then divide the difference in \(y\)-values by the difference in \(x\)-values to get the slope.

Answer:

1. Identify two ordered pairs \((x_1, y_1)\) and \((x_2, y_2)\) from the table.
2. Calculate the change in \(y\): \( \Delta y = y_2 - y_1 \).
3. Calculate the change in \(x\): \( \Delta x = x_2 - x_1 \).
4. Use the slope formula \( m=\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1} \) to find the slope.