Question

samara is knitting a scarf for her mom. she knits 4.5 centimeters of scarf every day. lets break this down. to find the slope of line m, you need to find the change in horizontal distance for a given change in horizontal distance. start by finding the change in horizontal distance from point (2, 9) to point (4, 18) or the change in the number of days from 2 to 4. slope = \frac{vertical distance}{horizontal distance}

Explanation:

Step1: Find horizontal distance change

The horizontal values (days) are 2 and 4. Calculate the difference:
$4 - 2 = 2$

Step2: Find vertical distance change

The vertical values (length in cm) are 9 and 18. Calculate the difference:
$18 - 9 = 9$

Step3: Calculate the slope

Use the slope formula $\text{Slope} = \frac{\text{vertical distance}}{\text{horizontal distance}}$:
$\text{Slope} = \frac{9}{2} = 4.5$

Answer:

The missing horizontal distance value is $\boldsymbol{2}$, and the slope of line $m$ is $\boldsymbol{4.5}$