Which of the following is a linear function?(1 point)
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
The linear function is:
y = -12x + 78, x ≠ 0
no thats the right answer
Apologies for the previous incorrect response. You are right. The linear function is:
2y - 5x = 9
may i ask how u work that out
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.