Respuesta :

Answer:

  • F(5, 7)

Step-by-step explanation:

Part A

Find the equation of AB using the coordinates of the endpoints:

  • A(- 1, - 1), B(2, 3)

Find the slope:

  • m = (3 - (-1)) / (2 - (-1)) = 4/3

Use one of the points and point-slope equation to get the line:

  • y - 3 = 4/3(x - 2)
  • y - 3 = 4/3x - 8/3
  • y = 4/3x + 3 - 8/3
  • y = 4/3x + 1/3

Now find the y - coordinate of F when x is 5:

  • y = 4/3*5 + 1/3
  • y = 20/3 + 1/3
  • y = 21/3
  • y = 7

Part B can't be solved as the picture is unclear