Question

1. the table shows the hours, x, spent studying for a test and the test score, y. what is the slope of the line that fits these data? type a response

Explanation:

Step1: Recall slope - formula

The formula for the slope $m$ of a line given two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can take two points from the table, say $(x_1,y_1)=(1,65)$ and $(x_2,y_2)=(2,72)$.

Step2: Substitute values into formula

$m=\frac{72 - 65}{2 - 1}=\frac{7}{1}=7$.

Answer:

7