The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
What is the equation of a line passing through two given points in a 2-dimensional plane?
Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
The graph of the picture shows two clear points (4.5. 0) and (0, 9)
[tex](y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9[/tex]
Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
Learn more about straight-line equations here:https://brainly.com/question/380976
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