Select all of the following points that lie on the graph of f(x) = 7 - 3x.(-2,1)(-1, 10)(2,1)(1,5)(0,7)

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1) and (0 , 7)Step-by-step explanation:To prove that a point lies on the graph of a lineSubstitute the coordinates of the point in the equation of the lineIf the left hand side is equal to the right hand side, then the point lies on the graph of the line∵ The equation of the line is f(x) = 7 - 3 x∵ f(x) = y∴ y = 7 - 3 xPoint (-2 , 1)∵ x = -2 and y = 1- Substitute them in the equation∴ 1 = 7 - 3(-2)∴ 1 = 7 + 6∴ 1 ≠ 13∵ The left hand side is not equal the right hand side∴ Point (-2 , 1) does not lie on the graph of the linePoint (-1 , 10)∵ x = -1 and y = 10- Substitute them in the equation∴ 10 = 7 - 3(-1)∴ 10 = 7 + 3∴ 10 = 10∵ The left hand side is equal the right hand side∴ Point (-1 , 10) lies on the graph of the linePoint (2 , 1)∵ x = 2 and y = 1- Substitute them in the equation∴ 1 = 7 - 3(2)∴ 1 = 7 - 6∴ 1 = 1∵ The left hand side is equal the right hand side∴ Point (2 , 1) lies on the graph of the linePoint (1 , 5)∵ x = 1 and y = 5- Substitute them in the equation∴ 5 = 7 - 3(1)∴ 5 = 7 - 3∴ 5 ≠ 4∵ The left hand side is not equal the right hand side∴ Point (1 , 5) does not lie on the graph of the linePoint (0 , 7)∵ x = 0 and y = 7- Substitute them in the equation∴ 7 = 7 - 3(0)∴ 7 = 7 - 0∴ 7 = 7∵ The left hand side is equal the right hand side∴ Point (0 , 7) lies on the graph of the lineThe points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1) and (0 , 7)Learn more:You can learn more about the linear equation in brainly.com/question/4326955#LearnwithBrainly