Questions: Question 5 (1 point)
On a graph with m^2 along the x-axis and kg along the y-axis, the slope of a line would have units of
m^2
kg / m^2
kgm^2
m^2 / kg
Transcript text: Question 5 (1 point)
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On a graph with $\mathrm{m}^{2}$ along the $x$-axis and kg along the $y$-axis, the slope of a line would have units of
$\qquad$
$\mathrm{m}^{2}$
$\mathrm{kg} / \mathrm{m}^{2}$
$\mathrm{kgm}^{2}$
$\mathrm{m}^{2} / \mathrm{kg}$
Solution
Solution Steps
Step 1: Understand the Slope of a Line
The slope of a line on a graph is defined as the change in the \( y \)-axis variable divided by the change in the \( x \)-axis variable.
Step 2: Identify the Units on the Axes
In this problem, the \( x \)-axis is labeled with units of \(\mathrm{m}^{2}\) and the \( y \)-axis is labeled with units of \(\mathrm{kg}\).
Step 3: Determine the Units of the Slope
The slope \( m \) is given by:
\[
m = \frac{\Delta y}{\Delta x}
\]
Substituting the units from the axes:
\[
m = \frac{\text{kg}}{\mathrm{m}^{2}}
\]