The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2
Step-by-step explanation:
To prove that a point lies on a line
- Substitute x and y in the equation by the coordinates of the point
- If the two sides of the equation equal each other, then the point lies on the line
- If the two sides of the equation not equal each other then the point does't lie on the line
The equation of the line is 3 x - y = 2
a) Point (0 , -2)
∵ x = 0 and y = -2
- Substitute the values of x and y in the left hand side
∵ The left hand side is 3 x - y
∵ 3(0) - (-2) = 0 + 2 = 2
∴ The left hand side = 2
∵ The right hand side = 2
∴ The two sides of the equation are equal
∴ The ordered pair (0 , -2) lies on the line
b) Point (-3 , 4)
∵ x = -3 and y = 4
- Substitute the values of x and y in the left hand side
∵ The left hand side is 3 x - y
∵ 3(-3) - (4) = -9 - 4 = -13
∴ The left hand side = -13
∵ The right hand side = 2
∴ The two sides of the equation are not equal
∴ The ordered pair (-3 , 4) doesn't lie on the line
c) Point (1 , -5)
∵ x = 1 and y = -5
- Substitute the values of x and y in the left hand side
∵ The left hand side is 3 x - y
∵ 3(1) - (-5) = 3 + 5 = 8
∴ The left hand side = 8
∵ The right hand side = 2
∴ The two sides of the equation are not equal
∴ The ordered pair (1 , -5) doesn't lie on the line
The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2
Learn more:
You can learn more about the linear equation in brainly.com/question/1979240
#LearnwithBrainly
