find the slope of the line that passes through (2, 1) and (7, 10). simplify your answer and write it as a…

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(2,1)$ and $(x_2,y_2)=(7,10)$.

Step3: Substitute values into formula

$m=\frac{10 - 1}{7 - 2}$.

Step4: Calculate the numerator and denominator

The numerator $10 - 1 = 9$, and the denominator $7 - 2=5$. So $m=\frac{9}{5}$.

Answer:

$\frac{9}{5}$