Questions: Solve the following system by graphing. y = -(8/3) x - 9 y = -(8/3) x + 1 (1,9) no solution None of the other answers are correct (-1,-9) (-1,4)

Solution Steps

The given system of equations is: \[ \begin{array}{l} y = -\frac{8}{3}x - 9 \\ y = -\frac{8}{3}x + 1 \end{array} \]

Both equations have the same slope, \( m = -\frac{8}{3} \), but different y-intercepts:

• The first equation has a y-intercept at \( (0, -9) \).
• The second equation has a y-intercept at \( (0, 1) \).

Since the slopes are equal and the y-intercepts are different, the lines are parallel and will never intersect. Therefore, the system has no solution.

Final Answer