At what point does the Ox-axis intersect the graph of the linear function given by the formula a) y = -1.5x + 9; b) y = 2.5x + 3
August 7, 2021 | education
| The Ox axis and the graph of the function intersect at the point with the coordinate y = 0.
a) y = – 1.5x + 9.
– 1.5x + 9 = 0.
– 1.5x = – 9.
x = – 9: (- 1.5).
x = 6.
Thus, the graph of the function crosses the Ox axis at the point (6; 0).
Answer: The point of intersection of the function graph with the Ox axis (6; 0).
b) y = 2.5x + 3.
2.5x + 3 = 0.
2.5x = – 3.
x = – 3: 2.5.
x = – 1.2.
Thus, the graph of the function crosses the Ox axis at the point (- 1,2; 0).
Answer: The point of intersection of the function graph with the Ox axis (- 1,2; 0).
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