Which of the following equations represents a linear relationship? y=1/4x or y=2x+3 or y=x^2

Answer 1

y=2x +3 is a linear equation

Graph it, you get a straight line

Linear means the exponents are 1

y=x^2 is a quadratic, a parabola, with the x term having an exponent of 2

y=1/4x is a rectangular hyperbola. the x term has an exponent of -1

it's the same as y= (1/4)x^-1

UNLESS you really meant to write y=(1/4)x, then it's a linear equation

but as written it's not linear, it's written as 1/(4x). That's the implicit parentheses.