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 line
- Substitute the coordinates of the point in the equation of the line
- If 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 x
Point (-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 line
Point (-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 line
Point (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 line
Point (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 line
Point (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 line
The 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
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