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. now that youve found the slope and the vertical intercept, you can use these two values to help you write an equation that represents the relationship between the volume, v, and the number of marbles, x. go for it. write an equation that represents this line. slope: \\(\frac{1}{2}\\) vertical intercept : 8 equation:

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the vertical intercept. For this problem, $y$ corresponds to volume $v$, and $x$ corresponds to the number of marbles.

Step2: Substitute given values

Substitute $m = \frac{1}{2}$ and $b = 8$ into the slope-intercept formula.
<Expression>
$v = \frac{1}{2}x + 8$
</Expression>

Answer:

$v = \frac{1}{2}x + 8$