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

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) Listen 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 $\qquad$ $\mathrm{m}^{2}$ $\mathrm{kg} / \mathrm{m}^{2}$ $\mathrm{kgm}^{2}$ $\mathrm{m}^{2} / \mathrm{kg}$
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Solution

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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: \[ m = \frac{\text{kg}}{\mathrm{m}^{2}} \]

Final Answer

\(\boxed{\frac{\mathrm{kg}}{\mathrm{m}^{2}}}\)

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