Find the point-slope equation for the line that passes through the points \( (2,1) \) and \( (-2,5) \). Use the first point in your equation. \( y-[?]=[](x-[]) \)

To find the point-slope equation of the line that passes through the points \( (2,1) \) and \( (-2,5) \), we first need to calculate the slope (\( m \)) of the line. The slope formula is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 1}{-2 - 2} = \frac{4}{-4} = -1 \] Using the point-slope formula \( y - y_1 = m(x - x_1) \) with point \( (2, 1) \): \[ y - 1 = -1(x - 2) \] So the point-slope equation is: \[ y - 1 = -1(x - 2) \] Now, fill in the blanks: \( y - [1] = [-1](x - [2]) \)