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The slope of the line is \[\frac{3 - (-4)}{-1 - 7} = \frac{7}{-8} = -\frac{7}{8}\]
Using point-slope form with the point (7, –4):
\[y - (-4) = -\frac{7}{8}(x - 7)\]
\[y + 4 = -\frac{7}{8}x + \frac{49}{8}\]
Slope-intercept form of the line:
\[y = -\frac{7}{8}x + \frac{49}{8}\]