Question

the graph shows the mass of samples of a metal as a function of its volume. determine the slope of the line and indicate the units on the slope.
mass (g)
volume (ml)
slope:
units:

Explanation:

Step1: Select two points

Let's take two points from the line, say (50, 250) and (100, 500).

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 50$, $y_1=250$, $x_2 = 100$, $y_2 = 500$. So $m=\frac{500 - 250}{100 - 50}$.

Step3: Calculate the slope

$\frac{500 - 250}{100 - 50}=\frac{250}{50}=5$.

Step4: Determine units

The $y$-axis is mass (g) and the $x$-axis is volume (mL). So the units of the slope are g/mL.

Answer:

Slope: 5
Units: g/mL