Question

Which equation represents a linear function?​

Answer 1

`\large\boxed{D.\ y=(1)/(2)(x-3)-2x}`

Explanation:

The equation of linear function in slope-intercept form:

`y=mx+b`

`A.\ y=x(2-3x)=2x-3x^2\qquad\text{NOT, because we have }\ x^2\\\\B.\ y=(1)/(2)x^2+3x-1\qquad\text{NOT, bacause we have }\ x^2\\\\C.\ y=(1)/(2)x(2x-1)+3=x^2-(1)/(2)x+3\qquad\text{NOT, because we have}\ x^2\\\\D.\ y=(1)/(2)(x-3)-2x=(1)/(2)x-(3)/(2)-2x=-1(1)/(2)x-(3)/(2)\qquad\boxed{\bold{YES}}`