Question

Which of the following linear equations has the steepest slope?

Answer 1

I believe the answer would be B.. it has the steepest negative slope

Answer 2

The slope will be the steepest for the equation whose coefficient of the variable $x$ is the highest in magnitude. In other words this coefficient may be positive or negative. Only the magnitude matters.

A quick look at all the options given to us suggests that the second options has the coefficient of $x$ which has the greatest magnitude. This coefficient is -7.

Therefore, option B, $y=-7x+2$, is the correct option.