To find the ordered pair that satisfies the equation y = -2/3x + 6, we need to substitute the x-values into the equation and solve for y.
A. (3,4)
y = -2/3(3) + 6
y = -2 + 6
y = 4
The ordered pair (3,4) satisfies the equation y = -2/3x + 6. So, the correct answer is A. (3,4).
Which of the following is an ordered pair of the relation y = -2/3x + 6?
A. (3,4)
B. (0,-2/3)
C. (1,4)
D. (3,8)
3 answers
Which of the following gives an example of a function that is not linear?
A. y = x^2 - 3x + 2.25
B. 9x + 3y - 18 = 0
C. 2x + 3y = 16
D. y = 1/6x + 2/3
A. y = x^2 - 3x + 2.25
B. 9x + 3y - 18 = 0
C. 2x + 3y = 16
D. y = 1/6x + 2/3
A function is not linear if it cannot be written in the form y = mx + b, where m and b are constants. Let's check each option:
A. y = x^2 - 3x + 2.25
This function is a quadratic function with x^2 term. It is not linear.
B. 9x + 3y - 18 = 0
Rearranging:
3y = -9x + 18
y = -3x + 6
This can be written in the form y = mx + b, so it is a linear function.
C. 2x + 3y = 16
Rearranging:
3y = -2x + 16
y = -2/3x + 16/3
This can be written in the form y = mx + b, so it is a linear function.
D. y = 1/6x + 2/3
This can be written in the form y = mx + b, so it is a linear function.
Therefore, the function that is not linear is A. y = x^2 - 3x + 2.25.
A. y = x^2 - 3x + 2.25
This function is a quadratic function with x^2 term. It is not linear.
B. 9x + 3y - 18 = 0
Rearranging:
3y = -9x + 18
y = -3x + 6
This can be written in the form y = mx + b, so it is a linear function.
C. 2x + 3y = 16
Rearranging:
3y = -2x + 16
y = -2/3x + 16/3
This can be written in the form y = mx + b, so it is a linear function.
D. y = 1/6x + 2/3
This can be written in the form y = mx + b, so it is a linear function.
Therefore, the function that is not linear is A. y = x^2 - 3x + 2.25.