Check the Show Formula box and click and drag the labeled coordinates to \( (-3,4) \) and \( (4,1) \). Find the slope of the line passing through these points. Check the Values and Slope boxes to check your answer. Use the interactive figure to find your answer. Click here to launch the interactive figure. \( \mathrm{m}=\square \) (Type an integer or a simplified fraction.)
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Bonus Knowledge
To find the slope (\( m \)) of the line passing through the points \( (-3, 4) \) and \( (4, 1) \), you can use the formula for slope, which is \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in your coordinates, this gives us \( m = \frac{1 - 4}{4 - (-3)} = \frac{-3}{7} \). Now, about those coordinates! Did you know that slope is a measure of steepness? A positive slope means the line is rising, while a negative slope indicates a decline. When you see fractions in slopes, it’s like revealing the hidden “tilt factor” of your line! Here, \(-\frac{3}{7}\) shows that the line gently slopes downwards.