Find the point-slope equation for the line that passes through the points \( (5,18) \) and \( (-4,-18) \). Use the first point in your equation. \( y-[?]=(x-\square) \)

To find the point-slope equation of the line that passes through the points \( (5,18) \) and \( (-4,-18) \), we first need to determine the slope \( m \). The slope formula is \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the points \( (5, 18) \) and \( (-4, -18) \): \[ m = \frac{-18 - 18}{-4 - 5} = \frac{-36}{-9} = 4 \] Now, we can use the point-slope form of the equation, which is \[ y - y_1 = m(x - x_1) \] Using the first point \( (5, 18) \): \[ y - 18 = 4(x - 5) \] So, your point-slope equation is: \[ y - 18 = 4(x - 5) \]