Question

a. what is the slope of the line? the slope is \\(\frac{3}{2}\\). (type an integer or a simplified fraction.) b. what does the slope mean? select the correct choice below, and fill in the answer box(es) within your choice. (type an integer or a fraction.) a. the height of the plant decreases by \\(square\\) centimeter(s) per week. b. the height of the plant increases by \\(square\\) centimeter(s) per week.

Explanation:

Part a:

Step1: Recall slope definition

The slope of a line is typically given as a fraction (or integer) representing the rate of change, often in the form $\frac{\text{rise}}{\text{run}}$. Here, the slope is provided as $\frac{3}{2}$.

A positive slope means the dependent variable (height, in this case) increases as the independent variable (time, like weeks) increases. The slope $\frac{3}{2}$ implies for each unit increase in the independent variable (per week), the height (dependent variable) increases by $\frac{3}{2}$ centimeters. So we choose option B and fill in $\frac{3}{2}$.

Answer:

$\frac{3}{2}$

Part b: