Question

the graph shows the relationship between the number of marbles and the volume in a new cylinder. write an equation to represent this line. you just found that the change in vertical distance is 1 and the change in horizontal distance is 2. try again to find the slope. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) = \\(\square\\)

Explanation:

Step1: Use slope formula

$\text{slope} = \frac{\text{vertical distance}}{\text{horizontal distance}}$

Step2: Substitute given values

$\text{slope} = \frac{1}{2}$

Step3: Identify y-intercept

From point $(0,8)$, $b=8$

Step4: Write line equation

Use $y=mx+b$, substitute $m=\frac{1}{2}, b=8$
$y = \frac{1}{2}x + 8$

Answer:

Slope: $\frac{1}{2}$
Line equation: $y = \frac{1}{2}x + 8$