equation \( y=2 x-5 \) and passing through \( (8,-3) ? \)

To determine if the line defined by the equation \( y = 2x - 5 \) passes through the point \( (8, -3) \), we need to substitute the x and y coordinates of the point into the equation and see if the equation holds true. Given the point \( (8, -3) \), we have: - \( x = 8 \) - \( y = -3 \) Substitute these values into the equation \( y = 2x - 5 \): \[ -3 = 2(8) - 5 \] Now, calculate the right side of the equation: \[ -3 = 16 - 5 \] \[ -3 = 11 \] Since the left side of the equation (-3) does not equal the right side (11), the point \( (8, -3) \) does not satisfy the equation \( y = 2x - 5 \). Therefore, the line defined by the equation \( y = 2x - 5 \) does not pass through the point \( (8, -3) \).