Question

algebra 1 eoc assessment sample questions

1. jodi is studying plant growth rates for her science project. for her project, she selected three bean plants of equal height. then, for the next five days, she measured the height, in centimeters, of each plant and plotted the values on the graph below.

bean plant growth
she drew a line of best fit passing through points (1, 1) and (5, 7) on the graph to show one way of calculating the mean growth rate of the plants. what is the slope of the line she drew?

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1)$ and $(x_2,y_2)$

Step2: Assign point coordinates

Let $(x_1,y_1)=(1,1)$ and $(x_2,y_2)=(5,7)$

Step3: Substitute values into formula

$m = \frac{7 - 1}{5 - 1} = \frac{6}{4}$

Step4: Simplify the fraction

$m = \frac{3}{2}$

Answer:

$\frac{3}{2}$