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QUESTION IMAGE

a. (2,-7) b. (1,-6) c. (5,0) d. (0,-7.5)

Question

a. (2,-7)
b. (1,-6)
c. (5,0)
d. (0,-7.5)

Explanation:

Step1: Analyze each option

For a point to lie on one of the lines, we check if the coordinates satisfy the line's equation (or visually from the graph).

  • Option A: (2, -7). Check the graph: at x=2, the y-values of the lines are not -7.
  • Option B: (1, -6). At x=1, the y-values don't match -6.
  • Option C: (5, 0). From the graph, both lines pass through (5, 0) as they intersect there and cross the x - axis at x = 5, y = 0.
  • Option D: (0, -7.5). At x = 0, the y - intercepts of the lines don't match -7.5.

Answer:

C. (5,0)