For a science experiment, Mala measured the height of a plant every week. She recorded that the growth is linear. Write an equation in point-slope form to represent the information in the table.

To write an equation in **point-slope form** for Mala's plant growth data, you'll need the following information from the table: 1. **A specific data point \((x_1, y_1)\):** This represents the plant's height at a particular week. 2. **The slope \(m\):** This indicates the rate of growth per week. **Point-Slope Form Equation:** \[ y - y_1 = m(x - x_1) \] **Steps to Create the Equation:** 1. **Identify Two Points from the Table:** - For example, suppose the table has the following data: \[ \begin{array}{|c|c|} \hline \text{Week } (x) & \text{Height (cm) } (y) \\ \hline 1 & 5 \\ 4 & 14 \\ \hline \end{array} \] 2. **Calculate the Slope \(m\):** \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{14 - 5}{4 - 1} = \frac{9}{3} = 3 \, \text{cm/week} \] 3. **Choose One Point to Use in the Equation:** - Let's use the first point \((1, 5)\). 4. **Plug the Values into the Point-Slope Form:** \[ y - 5 = 3(x - 1) \] **Final Equation:** \[ y - 5 = 3(x - 1) \] **Interpretation:** - **\(m = 3\):** The plant grows by 3 cm each week. - **\((1, 5)\):** At week 1, the plant was 5 cm tall. This equation allows you to predict the plant's height at any week \(x\). For example, to find the height at week 2: \[ y - 5 = 3(2 - 1) \\ y - 5 = 3 \\ y = 8 \, \text{cm} \] **Note:** If you have different data points in your table, you can follow the same steps to derive the specific point-slope form equation for Mala's experiment.