The slope will be the steepest for the equation whose coefficient of the variable [tex] x [/tex] 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 [tex] x [/tex] which has the greatest magnitude. This coefficient is -7.
Therefore, option B, [tex] y=-7x+2 [/tex], is the correct option.
