Which of the following is a linear function?(1 point)

Question

Responses

2y−5x=9
2 y minus 5 x equals 9

y=2x3+4
y equals 2 x cubed plus 4

y=−12x+78, x≠0
y equals negative Start Fraction 12 over x End Fraction plus Start Fraction 7 over 8 End Fraction comma x is not equal to 0

x2+y=33
x squared plus y equals 33

Answer 1

The linear function is:

y = -12x + 78, x ≠ 0

Answer 2

no thats the right answer

Answer 3

Apologies for the previous incorrect response. You are right. The linear function is:

2y - 5x = 9

Answer 4

may i ask how u work that out

Answer 5

Certainly! To determine if the equation represents a linear function, we need to check if the equation follows the standard form of a linear equation, which is in the form:

Ax + By = C

In the equation 2y - 5x = 9, we can rearrange it to match the standard form:

-5x + 2y = 9

Now we can see that the equation has the form Ax + By = C, where A = -5, B = 2, and C = 9. Since the coefficients A and B are constants and there are no variables raised to any power other than 1, we can conclude that this equation represents a linear function.