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, find the vertical intercept. slope: $\frac{1}{2}$ vertical intercept: $square$

Explanation:

Step1: Identify vertical intercept definition

The vertical intercept (y-intercept) is the y-value where the line crosses the y-axis, which occurs at $x=0$.

Step2: Locate intercept on the graph

On the given graph, when $x=0$, the line intersects the y-axis at $y=8$.

Step3: Verify with slope-intercept form

Using the slope-intercept formula $y=mx+b$, where $m=\frac{1}{2}$ (given slope) and the point $(0,8)$:
$8 = \frac{1}{2}(0) + b$
$b=8$

Answer:

8