Write equation of the line in slope intercept form (-4,7), and (4, -10)

1. Calculate the slope (m):
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-10 - 7}{4 - (-4)} = \frac{-17}{8}

2. Use point-slope form with one of the points (x_1, y_1) = (-4, 7):
y - y_1 = m (x - x_1)
y - 7 = -\frac{17}{8} (x + 4)

3. Simplify to slope-intercept form (y = mx + b):
y - 7 = -\frac{17}{8} x - \frac{17}{2}
y = -\frac{17}{8} x - \frac{17}{2} + 7
y = -\frac{17}{8} x + \frac{14 - 17}{2}
y = -\frac{17}{8} x + \frac{- 3}{2}