What is the slope of the line for this graph?

Question

BlackTom AI · Accepted Answer

To determine the slope, I first inspect the graph and its displayed equation in the legend. 
Option 1: 'y' is simply the dependent variable, not a slope value, so it cannot be the slope. This is a distractor that represents the axis label or variable rather than a numeric slope. 
Option 2: '9.02E-10' appears to be a very small decimal expressed in scientific notation, and it matches the coefficient multiplying x in the line equation shown on the chart (the slope term). This is a strong candidate for the slope because the slope is the coefficient of x in the linear equation y = m x + b. 
Option 3: '2.71E-08' looks like a small number typical of an intercept term in scientific notation, but intercepts are constants added to the line (the b in y = m x + b), not the slope. Since the legend presents a separate coefficient for x, this value is unlikely to be the slope. 
Option 4: '9.82E-01' is approximately 0.982, which matches the R-squared value shown on the chart as R^2 ≈ 0.982. R^2 measures how well the line fits the data, not the slope, so this is not the slope. 
Option 5: 'x' represents the variable along the horizontal axis, not a numeric slope value. It cannot be the slope of the line. 
Putting these observations together, the only option that aligns with the slope term in the displayed line equation and with the general definition of slope is the second option, '9.02E-10'. 
Thus, the reasoning steps point to identifying the slope as the coefficient of x in the line equation shown in the graph, rather than any term representing the axis label, intercept, or fit metric.

2261 CHEM 0113 SEC4030 Quiz #0_2254

What is the slope of the line for this graph?

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