Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. \[ (x, y)=(-2,10) \text { and }(x, y)=(5,-4) \text { are points on the line } \]

1. **Calculate the slope \( m \)** Using the two given points \((-2, 10)\) and \((5, -4)\), the slope is \[ m = \frac{-4 - 10}{5 - (-2)} = \frac{-14}{7} = -2. \] 2. **Write the point-slope form** Choose the point \((-2, 10)\) for example, and substitute the slope \( m = -2 \) into \[ y - y_1 = m(x - x_1): \] \[ y - 10 = -2(x - (-2)) = -2(x + 2). \] 3. **Convert to slope-intercept form** Distribute and simplify: \[ y - 10 = -2x - 4. \] Add 10 to both sides to isolate \( y \): \[ y = -2x - 4 + 10, \] \[ y = -2x + 6. \] The final equation of the line in slope-intercept form is \[ y = -2x + 6. \]